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Simplifying -4(2 + -3x) = 7 + -1(x + -3) (2 * -4 + -3x * -4) = 7 + -1(x + -3) (-8 + 12x) = 7 + -1(x + -3) Reorder the terms: -8 + 12x = 7 + -1(-3 + x) -8 + 12x = 7 + (-3 * -1 + x * -1) -8 + 12x = 7 + (3 + -1x) Combine like terms: 7 + 3 = 10 -8 + 12x = 10 + -1x Solving -8 + 12x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 12x + x = 10 + -1x + x Combine like terms: 12x + x = 13x -8 + 13x = 10 + -1x + x Combine like terms: -1x + x = 0 -8 + 13x = 10 + 0 -8 + 13x = 10 Add '8' to each side of the equation. -8 + 8 + 13x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 10 + 8 13x = 10 + 8 Combine like terms: 10 + 8 = 18 13x = 18 Divide each side by '13'. x = 1.384615385 Simplifying x = 1.384615385
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