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Simplifying 3x + -5(x + -6) = 2(x + -10) Reorder the terms: 3x + -5(-6 + x) = 2(x + -10) 3x + (-6 * -5 + x * -5) = 2(x + -10) 3x + (30 + -5x) = 2(x + -10) Reorder the terms: 30 + 3x + -5x = 2(x + -10) Combine like terms: 3x + -5x = -2x 30 + -2x = 2(x + -10) Reorder the terms: 30 + -2x = 2(-10 + x) 30 + -2x = (-10 * 2 + x * 2) 30 + -2x = (-20 + 2x) Solving 30 + -2x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -2x + -2x = -20 + 2x + -2x Combine like terms: -2x + -2x = -4x 30 + -4x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -4x = -20 + 0 30 + -4x = -20 Add '-30' to each side of the equation. 30 + -30 + -4x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = -20 + -30 -4x = -20 + -30 Combine like terms: -20 + -30 = -50 -4x = -50 Divide each side by '-4'. x = 12.5 Simplifying x = 12.5
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