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Simplifying 4(x + -5) = 6(2x + -2) Reorder the terms: 4(-5 + x) = 6(2x + -2) (-5 * 4 + x * 4) = 6(2x + -2) (-20 + 4x) = 6(2x + -2) Reorder the terms: -20 + 4x = 6(-2 + 2x) -20 + 4x = (-2 * 6 + 2x * 6) -20 + 4x = (-12 + 12x) Solving -20 + 4x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 4x + -12x = -12 + 12x + -12x Combine like terms: 4x + -12x = -8x -20 + -8x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -8x = -12 + 0 -20 + -8x = -12 Add '20' to each side of the equation. -20 + 20 + -8x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = -12 + 20 -8x = -12 + 20 Combine like terms: -12 + 20 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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