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Simplifying -12 + 4(2x + 5) = 4(3x + -2) Reorder the terms: -12 + 4(5 + 2x) = 4(3x + -2) -12 + (5 * 4 + 2x * 4) = 4(3x + -2) -12 + (20 + 8x) = 4(3x + -2) Combine like terms: -12 + 20 = 8 8 + 8x = 4(3x + -2) Reorder the terms: 8 + 8x = 4(-2 + 3x) 8 + 8x = (-2 * 4 + 3x * 4) 8 + 8x = (-8 + 12x) Solving 8 + 8x = -8 + 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. 8 + 8x + -12x = -8 + 12x + -12x Combine like terms: 8x + -12x = -4x 8 + -4x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -4x = -8 + 0 8 + -4x = -8 Add '-8' to each side of the equation. 8 + -8 + -4x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -8 + -8 -4x = -8 + -8 Combine like terms: -8 + -8 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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