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Simplifying 10 + -5x = 15 + -1(3x + 8) Reorder the terms: 10 + -5x = 15 + -1(8 + 3x) 10 + -5x = 15 + (8 * -1 + 3x * -1) 10 + -5x = 15 + (-8 + -3x) Combine like terms: 15 + -8 = 7 10 + -5x = 7 + -3x Solving 10 + -5x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + -5x + 3x = 7 + -3x + 3x Combine like terms: -5x + 3x = -2x 10 + -2x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -2x = 7 + 0 10 + -2x = 7 Add '-10' to each side of the equation. 10 + -10 + -2x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 7 + -10 -2x = 7 + -10 Combine like terms: 7 + -10 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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