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Simplifying 4x + 29 = 5(2x + -5) Reorder the terms: 29 + 4x = 5(2x + -5) Reorder the terms: 29 + 4x = 5(-5 + 2x) 29 + 4x = (-5 * 5 + 2x * 5) 29 + 4x = (-25 + 10x) Solving 29 + 4x = -25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 29 + 4x + -10x = -25 + 10x + -10x Combine like terms: 4x + -10x = -6x 29 + -6x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 29 + -6x = -25 + 0 29 + -6x = -25 Add '-29' to each side of the equation. 29 + -29 + -6x = -25 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = -25 + -29 -6x = -25 + -29 Combine like terms: -25 + -29 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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