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Simplifying 5(x + 4) + -3(x + -4) = 3x + 29 Reorder the terms: 5(4 + x) + -3(x + -4) = 3x + 29 (4 * 5 + x * 5) + -3(x + -4) = 3x + 29 (20 + 5x) + -3(x + -4) = 3x + 29 Reorder the terms: 20 + 5x + -3(-4 + x) = 3x + 29 20 + 5x + (-4 * -3 + x * -3) = 3x + 29 20 + 5x + (12 + -3x) = 3x + 29 Reorder the terms: 20 + 12 + 5x + -3x = 3x + 29 Combine like terms: 20 + 12 = 32 32 + 5x + -3x = 3x + 29 Combine like terms: 5x + -3x = 2x 32 + 2x = 3x + 29 Reorder the terms: 32 + 2x = 29 + 3x Solving 32 + 2x = 29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + 2x + -3x = 29 + 3x + -3x Combine like terms: 2x + -3x = -1x 32 + -1x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + -1x = 29 + 0 32 + -1x = 29 Add '-32' to each side of the equation. 32 + -32 + -1x = 29 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 29 + -32 -1x = 29 + -32 Combine like terms: 29 + -32 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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