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Simplifying 9x + -15 = 5(2x + -5) + -13 Reorder the terms: -15 + 9x = 5(2x + -5) + -13 Reorder the terms: -15 + 9x = 5(-5 + 2x) + -13 -15 + 9x = (-5 * 5 + 2x * 5) + -13 -15 + 9x = (-25 + 10x) + -13 Reorder the terms: -15 + 9x = -25 + -13 + 10x Combine like terms: -25 + -13 = -38 -15 + 9x = -38 + 10x Solving -15 + 9x = -38 + 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. -15 + 9x + -10x = -38 + 10x + -10x Combine like terms: 9x + -10x = -1x -15 + -1x = -38 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -1x = -38 + 0 -15 + -1x = -38 Add '15' to each side of the equation. -15 + 15 + -1x = -38 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -38 + 15 -1x = -38 + 15 Combine like terms: -38 + 15 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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