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Simplifying 4 + -2(3x + -4) = 1 + -1(5x + 4) Reorder the terms: 4 + -2(-4 + 3x) = 1 + -1(5x + 4) 4 + (-4 * -2 + 3x * -2) = 1 + -1(5x + 4) 4 + (8 + -6x) = 1 + -1(5x + 4) Combine like terms: 4 + 8 = 12 12 + -6x = 1 + -1(5x + 4) Reorder the terms: 12 + -6x = 1 + -1(4 + 5x) 12 + -6x = 1 + (4 * -1 + 5x * -1) 12 + -6x = 1 + (-4 + -5x) Combine like terms: 1 + -4 = -3 12 + -6x = -3 + -5x Solving 12 + -6x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -6x + 5x = -3 + -5x + 5x Combine like terms: -6x + 5x = -1x 12 + -1x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -1x = -3 + 0 12 + -1x = -3 Add '-12' to each side of the equation. 12 + -12 + -1x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -3 + -12 -1x = -3 + -12 Combine like terms: -3 + -12 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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