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Simplifying -3x + 29 = 5(x + -2) + 23 Reorder the terms: 29 + -3x = 5(x + -2) + 23 Reorder the terms: 29 + -3x = 5(-2 + x) + 23 29 + -3x = (-2 * 5 + x * 5) + 23 29 + -3x = (-10 + 5x) + 23 Reorder the terms: 29 + -3x = -10 + 23 + 5x Combine like terms: -10 + 23 = 13 29 + -3x = 13 + 5x Solving 29 + -3x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 29 + -3x + -5x = 13 + 5x + -5x Combine like terms: -3x + -5x = -8x 29 + -8x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + -8x = 13 + 0 29 + -8x = 13 Add '-29' to each side of the equation. 29 + -29 + -8x = 13 + -29 Combine like terms: 29 + -29 = 0 0 + -8x = 13 + -29 -8x = 13 + -29 Combine like terms: 13 + -29 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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