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Simplifying 9x + 5 = 2(5x + -4) Reorder the terms: 5 + 9x = 2(5x + -4) Reorder the terms: 5 + 9x = 2(-4 + 5x) 5 + 9x = (-4 * 2 + 5x * 2) 5 + 9x = (-8 + 10x) Solving 5 + 9x = -8 + 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. 5 + 9x + -10x = -8 + 10x + -10x Combine like terms: 9x + -10x = -1x 5 + -1x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -1x = -8 + 0 5 + -1x = -8 Add '-5' to each side of the equation. 5 + -5 + -1x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -8 + -5 -1x = -8 + -5 Combine like terms: -8 + -5 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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