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Simplifying 2(3 + -4) + 12 + 4(x + 4) + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 Combine like terms: 3 + -4 = -1 2(-1) + 12 + 4(x + 4) + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 Multiply 2 * -1 -2 + 12 + 4(x + 4) + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 Reorder the terms: -2 + 12 + 4(4 + x) + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 -2 + 12 + (4 * 4 + x * 4) + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 -2 + 12 + (16 + 4x) + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 Combine like terms: -2 + 12 = 10 10 + 16 + 4x + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 Combine like terms: 10 + 16 = 26 26 + 4x + 3x = 7(x + 2) + -4x + 4(2x + 1) + 16 Combine like terms: 4x + 3x = 7x 26 + 7x = 7(x + 2) + -4x + 4(2x + 1) + 16 Reorder the terms: 26 + 7x = 7(2 + x) + -4x + 4(2x + 1) + 16 26 + 7x = (2 * 7 + x * 7) + -4x + 4(2x + 1) + 16 26 + 7x = (14 + 7x) + -4x + 4(2x + 1) + 16 Reorder the terms: 26 + 7x = 14 + 7x + -4x + 4(1 + 2x) + 16 26 + 7x = 14 + 7x + -4x + (1 * 4 + 2x * 4) + 16 26 + 7x = 14 + 7x + -4x + (4 + 8x) + 16 Reorder the terms: 26 + 7x = 14 + 4 + 16 + 7x + -4x + 8x Combine like terms: 14 + 4 = 18 26 + 7x = 18 + 16 + 7x + -4x + 8x Combine like terms: 18 + 16 = 34 26 + 7x = 34 + 7x + -4x + 8x Combine like terms: 7x + -4x = 3x 26 + 7x = 34 + 3x + 8x Combine like terms: 3x + 8x = 11x 26 + 7x = 34 + 11x Solving 26 + 7x = 34 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 26 + 7x + -11x = 34 + 11x + -11x Combine like terms: 7x + -11x = -4x 26 + -4x = 34 + 11x + -11x Combine like terms: 11x + -11x = 0 26 + -4x = 34 + 0 26 + -4x = 34 Add '-26' to each side of the equation. 26 + -26 + -4x = 34 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 34 + -26 -4x = 34 + -26 Combine like terms: 34 + -26 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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