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Simplifying 2x + -3(x + -4) = -6x + 3(x + -2) Reorder the terms: 2x + -3(-4 + x) = -6x + 3(x + -2) 2x + (-4 * -3 + x * -3) = -6x + 3(x + -2) 2x + (12 + -3x) = -6x + 3(x + -2) Reorder the terms: 12 + 2x + -3x = -6x + 3(x + -2) Combine like terms: 2x + -3x = -1x 12 + -1x = -6x + 3(x + -2) Reorder the terms: 12 + -1x = -6x + 3(-2 + x) 12 + -1x = -6x + (-2 * 3 + x * 3) 12 + -1x = -6x + (-6 + 3x) Reorder the terms: 12 + -1x = -6 + -6x + 3x Combine like terms: -6x + 3x = -3x 12 + -1x = -6 + -3x Solving 12 + -1x = -6 + -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. 12 + -1x + 3x = -6 + -3x + 3x Combine like terms: -1x + 3x = 2x 12 + 2x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 2x = -6 + 0 12 + 2x = -6 Add '-12' to each side of the equation. 12 + -12 + 2x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -6 + -12 2x = -6 + -12 Combine like terms: -6 + -12 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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