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Simplifying -4(2 + -3x) = 7 + -2(1x + -3) (2 * -4 + -3x * -4) = 7 + -2(1x + -3) (-8 + 12x) = 7 + -2(1x + -3) Reorder the terms: -8 + 12x = 7 + -2(-3 + 1x) -8 + 12x = 7 + (-3 * -2 + 1x * -2) -8 + 12x = 7 + (6 + -2x) Combine like terms: 7 + 6 = 13 -8 + 12x = 13 + -2x Solving -8 + 12x = 13 + -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. -8 + 12x + 2x = 13 + -2x + 2x Combine like terms: 12x + 2x = 14x -8 + 14x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 14x = 13 + 0 -8 + 14x = 13 Add '8' to each side of the equation. -8 + 8 + 14x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 13 + 8 14x = 13 + 8 Combine like terms: 13 + 8 = 21 14x = 21 Divide each side by '14'. x = 1.5 Simplifying x = 1.5
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