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Simplifying 5x + 117 = 15x + -13 Reorder the terms: 117 + 5x = 15x + -13 Reorder the terms: 117 + 5x = -13 + 15x Solving 117 + 5x = -13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 117 + 5x + -15x = -13 + 15x + -15x Combine like terms: 5x + -15x = -10x 117 + -10x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 117 + -10x = -13 + 0 117 + -10x = -13 Add '-117' to each side of the equation. 117 + -117 + -10x = -13 + -117 Combine like terms: 117 + -117 = 0 0 + -10x = -13 + -117 -10x = -13 + -117 Combine like terms: -13 + -117 = -130 -10x = -130 Divide each side by '-10'. x = 13 Simplifying x = 13
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