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Simplifying 4(2x + 5) = 2(3x + -2) Reorder the terms: 4(5 + 2x) = 2(3x + -2) (5 * 4 + 2x * 4) = 2(3x + -2) (20 + 8x) = 2(3x + -2) Reorder the terms: 20 + 8x = 2(-2 + 3x) 20 + 8x = (-2 * 2 + 3x * 2) 20 + 8x = (-4 + 6x) Solving 20 + 8x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 8x + -6x = -4 + 6x + -6x Combine like terms: 8x + -6x = 2x 20 + 2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 2x = -4 + 0 20 + 2x = -4 Add '-20' to each side of the equation. 20 + -20 + 2x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = -4 + -20 2x = -4 + -20 Combine like terms: -4 + -20 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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