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Simplifying -10x + 15 + 18x + -4 = 5(2x + -13) Reorder the terms: 15 + -4 + -10x + 18x = 5(2x + -13) Combine like terms: 15 + -4 = 11 11 + -10x + 18x = 5(2x + -13) Combine like terms: -10x + 18x = 8x 11 + 8x = 5(2x + -13) Reorder the terms: 11 + 8x = 5(-13 + 2x) 11 + 8x = (-13 * 5 + 2x * 5) 11 + 8x = (-65 + 10x) Solving 11 + 8x = -65 + 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. 11 + 8x + -10x = -65 + 10x + -10x Combine like terms: 8x + -10x = -2x 11 + -2x = -65 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -2x = -65 + 0 11 + -2x = -65 Add '-11' to each side of the equation. 11 + -11 + -2x = -65 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -65 + -11 -2x = -65 + -11 Combine like terms: -65 + -11 = -76 -2x = -76 Divide each side by '-2'. x = 38 Simplifying x = 38
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