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Simplifying 8x + -1(3x + -7) = -3(4 + -2x) Reorder the terms: 8x + -1(-7 + 3x) = -3(4 + -2x) 8x + (-7 * -1 + 3x * -1) = -3(4 + -2x) 8x + (7 + -3x) = -3(4 + -2x) Reorder the terms: 7 + 8x + -3x = -3(4 + -2x) Combine like terms: 8x + -3x = 5x 7 + 5x = -3(4 + -2x) 7 + 5x = (4 * -3 + -2x * -3) 7 + 5x = (-12 + 6x) Solving 7 + 5x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x 7 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -1x = -12 + 0 7 + -1x = -12 Add '-7' to each side of the equation. 7 + -7 + -1x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -12 + -7 -1x = -12 + -7 Combine like terms: -12 + -7 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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