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Simplifying 2x + -10 = 3(x + -5(4 + -3x) + -8) Reorder the terms: -10 + 2x = 3(x + -5(4 + -3x) + -8) -10 + 2x = 3(x + (4 * -5 + -3x * -5) + -8) -10 + 2x = 3(x + (-20 + 15x) + -8) Reorder the terms: -10 + 2x = 3(-20 + -8 + x + 15x) Combine like terms: -20 + -8 = -28 -10 + 2x = 3(-28 + x + 15x) Combine like terms: x + 15x = 16x -10 + 2x = 3(-28 + 16x) -10 + 2x = (-28 * 3 + 16x * 3) -10 + 2x = (-84 + 48x) Solving -10 + 2x = -84 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -10 + 2x + -48x = -84 + 48x + -48x Combine like terms: 2x + -48x = -46x -10 + -46x = -84 + 48x + -48x Combine like terms: 48x + -48x = 0 -10 + -46x = -84 + 0 -10 + -46x = -84 Add '10' to each side of the equation. -10 + 10 + -46x = -84 + 10 Combine like terms: -10 + 10 = 0 0 + -46x = -84 + 10 -46x = -84 + 10 Combine like terms: -84 + 10 = -74 -46x = -74 Divide each side by '-46'. x = 1.608695652 Simplifying x = 1.608695652
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