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Simplifying 2x + -3(x + -4) = 4 + -2(x + -7) Reorder the terms: 2x + -3(-4 + x) = 4 + -2(x + -7) 2x + (-4 * -3 + x * -3) = 4 + -2(x + -7) 2x + (12 + -3x) = 4 + -2(x + -7) Reorder the terms: 12 + 2x + -3x = 4 + -2(x + -7) Combine like terms: 2x + -3x = -1x 12 + -1x = 4 + -2(x + -7) Reorder the terms: 12 + -1x = 4 + -2(-7 + x) 12 + -1x = 4 + (-7 * -2 + x * -2) 12 + -1x = 4 + (14 + -2x) Combine like terms: 4 + 14 = 18 12 + -1x = 18 + -2x Solving 12 + -1x = 18 + -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. 12 + -1x + 2x = 18 + -2x + 2x Combine like terms: -1x + 2x = 1x 12 + 1x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 1x = 18 + 0 12 + 1x = 18 Add '-12' to each side of the equation. 12 + -12 + 1x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 18 + -12 1x = 18 + -12 Combine like terms: 18 + -12 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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