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Simplifying 3(x + 1) = 4(x + -4) + 29 Reorder the terms: 3(1 + x) = 4(x + -4) + 29 (1 * 3 + x * 3) = 4(x + -4) + 29 (3 + 3x) = 4(x + -4) + 29 Reorder the terms: 3 + 3x = 4(-4 + x) + 29 3 + 3x = (-4 * 4 + x * 4) + 29 3 + 3x = (-16 + 4x) + 29 Reorder the terms: 3 + 3x = -16 + 29 + 4x Combine like terms: -16 + 29 = 13 3 + 3x = 13 + 4x Solving 3 + 3x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 3x + -4x = 13 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 13 + 0 3 + -1x = 13 Add '-3' to each side of the equation. 3 + -3 + -1x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 13 + -3 -1x = 13 + -3 Combine like terms: 13 + -3 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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