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Simplifying 5x + -1(2x + -3) + 4(3x + 2) = 2(7x + 6) + 4 Reorder the terms: 5x + -1(-3 + 2x) + 4(3x + 2) = 2(7x + 6) + 4 5x + (-3 * -1 + 2x * -1) + 4(3x + 2) = 2(7x + 6) + 4 5x + (3 + -2x) + 4(3x + 2) = 2(7x + 6) + 4 Reorder the terms: 5x + 3 + -2x + 4(2 + 3x) = 2(7x + 6) + 4 5x + 3 + -2x + (2 * 4 + 3x * 4) = 2(7x + 6) + 4 5x + 3 + -2x + (8 + 12x) = 2(7x + 6) + 4 Reorder the terms: 3 + 8 + 5x + -2x + 12x = 2(7x + 6) + 4 Combine like terms: 3 + 8 = 11 11 + 5x + -2x + 12x = 2(7x + 6) + 4 Combine like terms: 5x + -2x = 3x 11 + 3x + 12x = 2(7x + 6) + 4 Combine like terms: 3x + 12x = 15x 11 + 15x = 2(7x + 6) + 4 Reorder the terms: 11 + 15x = 2(6 + 7x) + 4 11 + 15x = (6 * 2 + 7x * 2) + 4 11 + 15x = (12 + 14x) + 4 Reorder the terms: 11 + 15x = 12 + 4 + 14x Combine like terms: 12 + 4 = 16 11 + 15x = 16 + 14x Solving 11 + 15x = 16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 11 + 15x + -14x = 16 + 14x + -14x Combine like terms: 15x + -14x = 1x 11 + 1x = 16 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + 1x = 16 + 0 11 + 1x = 16 Add '-11' to each side of the equation. 11 + -11 + 1x = 16 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 16 + -11 1x = 16 + -11 Combine like terms: 16 + -11 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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