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Simplifying 8(3x + -7) = -2(-1x + 6) Reorder the terms: 8(-7 + 3x) = -2(-1x + 6) (-7 * 8 + 3x * 8) = -2(-1x + 6) (-56 + 24x) = -2(-1x + 6) Reorder the terms: -56 + 24x = -2(6 + -1x) -56 + 24x = (6 * -2 + -1x * -2) -56 + 24x = (-12 + 2x) Solving -56 + 24x = -12 + 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. -56 + 24x + -2x = -12 + 2x + -2x Combine like terms: 24x + -2x = 22x -56 + 22x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 22x = -12 + 0 -56 + 22x = -12 Add '56' to each side of the equation. -56 + 56 + 22x = -12 + 56 Combine like terms: -56 + 56 = 0 0 + 22x = -12 + 56 22x = -12 + 56 Combine like terms: -12 + 56 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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