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Simplifying 3(x + -20) + -4(x + 4) = -2(x + -6) Reorder the terms: 3(-20 + x) + -4(x + 4) = -2(x + -6) (-20 * 3 + x * 3) + -4(x + 4) = -2(x + -6) (-60 + 3x) + -4(x + 4) = -2(x + -6) Reorder the terms: -60 + 3x + -4(4 + x) = -2(x + -6) -60 + 3x + (4 * -4 + x * -4) = -2(x + -6) -60 + 3x + (-16 + -4x) = -2(x + -6) Reorder the terms: -60 + -16 + 3x + -4x = -2(x + -6) Combine like terms: -60 + -16 = -76 -76 + 3x + -4x = -2(x + -6) Combine like terms: 3x + -4x = -1x -76 + -1x = -2(x + -6) Reorder the terms: -76 + -1x = -2(-6 + x) -76 + -1x = (-6 * -2 + x * -2) -76 + -1x = (12 + -2x) Solving -76 + -1x = 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. -76 + -1x + 2x = 12 + -2x + 2x Combine like terms: -1x + 2x = 1x -76 + 1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -76 + 1x = 12 + 0 -76 + 1x = 12 Add '76' to each side of the equation. -76 + 76 + 1x = 12 + 76 Combine like terms: -76 + 76 = 0 0 + 1x = 12 + 76 1x = 12 + 76 Combine like terms: 12 + 76 = 88 1x = 88 Divide each side by '1'. x = 88 Simplifying x = 88
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