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Simplifying 3 + 4(x + 1) + 2 = 3(2x + -4) + 5x Reorder the terms: 3 + 4(1 + x) + 2 = 3(2x + -4) + 5x 3 + (1 * 4 + x * 4) + 2 = 3(2x + -4) + 5x 3 + (4 + 4x) + 2 = 3(2x + -4) + 5x Reorder the terms: 3 + 4 + 2 + 4x = 3(2x + -4) + 5x Combine like terms: 3 + 4 = 7 7 + 2 + 4x = 3(2x + -4) + 5x Combine like terms: 7 + 2 = 9 9 + 4x = 3(2x + -4) + 5x Reorder the terms: 9 + 4x = 3(-4 + 2x) + 5x 9 + 4x = (-4 * 3 + 2x * 3) + 5x 9 + 4x = (-12 + 6x) + 5x Combine like terms: 6x + 5x = 11x 9 + 4x = -12 + 11x Solving 9 + 4x = -12 + 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. 9 + 4x + -11x = -12 + 11x + -11x Combine like terms: 4x + -11x = -7x 9 + -7x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 9 + -7x = -12 + 0 9 + -7x = -12 Add '-9' to each side of the equation. 9 + -9 + -7x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -12 + -9 -7x = -12 + -9 Combine like terms: -12 + -9 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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