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Simplifying 2x + -3(x + -4) = x + 2(3x + -2) Reorder the terms: 2x + -3(-4 + x) = x + 2(3x + -2) 2x + (-4 * -3 + x * -3) = x + 2(3x + -2) 2x + (12 + -3x) = x + 2(3x + -2) Reorder the terms: 12 + 2x + -3x = x + 2(3x + -2) Combine like terms: 2x + -3x = -1x 12 + -1x = x + 2(3x + -2) Reorder the terms: 12 + -1x = x + 2(-2 + 3x) 12 + -1x = x + (-2 * 2 + 3x * 2) 12 + -1x = x + (-4 + 6x) Reorder the terms: 12 + -1x = -4 + x + 6x Combine like terms: x + 6x = 7x 12 + -1x = -4 + 7x Solving 12 + -1x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -1x + -7x = -4 + 7x + -7x Combine like terms: -1x + -7x = -8x 12 + -8x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -8x = -4 + 0 12 + -8x = -4 Add '-12' to each side of the equation. 12 + -12 + -8x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -4 + -12 -8x = -4 + -12 Combine like terms: -4 + -12 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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