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Simplifying 4x + -5(x + -6) = 2x + -12 Reorder the terms: 4x + -5(-6 + x) = 2x + -12 4x + (-6 * -5 + x * -5) = 2x + -12 4x + (30 + -5x) = 2x + -12 Reorder the terms: 30 + 4x + -5x = 2x + -12 Combine like terms: 4x + -5x = -1x 30 + -1x = 2x + -12 Reorder the terms: 30 + -1x = -12 + 2x Solving 30 + -1x = -12 + 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 + -1x + -2x = -12 + 2x + -2x Combine like terms: -1x + -2x = -3x 30 + -3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -3x = -12 + 0 30 + -3x = -12 Add '-30' to each side of the equation. 30 + -30 + -3x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -12 + -30 -3x = -12 + -30 Combine like terms: -12 + -30 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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