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Simplifying -5(3x + -2) + 8x = 3(x + 6) Reorder the terms: -5(-2 + 3x) + 8x = 3(x + 6) (-2 * -5 + 3x * -5) + 8x = 3(x + 6) (10 + -15x) + 8x = 3(x + 6) Combine like terms: -15x + 8x = -7x 10 + -7x = 3(x + 6) Reorder the terms: 10 + -7x = 3(6 + x) 10 + -7x = (6 * 3 + x * 3) 10 + -7x = (18 + 3x) Solving 10 + -7x = 18 + 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 + -7x + -3x = 18 + 3x + -3x Combine like terms: -7x + -3x = -10x 10 + -10x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -10x = 18 + 0 10 + -10x = 18 Add '-10' to each side of the equation. 10 + -10 + -10x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 18 + -10 -10x = 18 + -10 Combine like terms: 18 + -10 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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