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Simplifying 3(x + -4) + 2(4x + 7) = 2x + 29 Reorder the terms: 3(-4 + x) + 2(4x + 7) = 2x + 29 (-4 * 3 + x * 3) + 2(4x + 7) = 2x + 29 (-12 + 3x) + 2(4x + 7) = 2x + 29 Reorder the terms: -12 + 3x + 2(7 + 4x) = 2x + 29 -12 + 3x + (7 * 2 + 4x * 2) = 2x + 29 -12 + 3x + (14 + 8x) = 2x + 29 Reorder the terms: -12 + 14 + 3x + 8x = 2x + 29 Combine like terms: -12 + 14 = 2 2 + 3x + 8x = 2x + 29 Combine like terms: 3x + 8x = 11x 2 + 11x = 2x + 29 Reorder the terms: 2 + 11x = 29 + 2x Solving 2 + 11x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 11x + -2x = 29 + 2x + -2x Combine like terms: 11x + -2x = 9x 2 + 9x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 9x = 29 + 0 2 + 9x = 29 Add '-2' to each side of the equation. 2 + -2 + 9x = 29 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 29 + -2 9x = 29 + -2 Combine like terms: 29 + -2 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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