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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 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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