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Simplifying 4(2x + 3) = 2(5x + -2) Reorder the terms: 4(3 + 2x) = 2(5x + -2) (3 * 4 + 2x * 4) = 2(5x + -2) (12 + 8x) = 2(5x + -2) Reorder the terms: 12 + 8x = 2(-2 + 5x) 12 + 8x = (-2 * 2 + 5x * 2) 12 + 8x = (-4 + 10x) Solving 12 + 8x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 8x + -10x = -4 + 10x + -10x Combine like terms: 8x + -10x = -2x 12 + -2x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -2x = -4 + 0 12 + -2x = -4 Add '-12' to each side of the equation. 12 + -12 + -2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -4 + -12 -2x = -4 + -12 Combine like terms: -4 + -12 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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