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Simplifying 4(3 + 5x) + -4 = 3 + 2(x + -2) (3 * 4 + 5x * 4) + -4 = 3 + 2(x + -2) (12 + 20x) + -4 = 3 + 2(x + -2) Reorder the terms: 12 + -4 + 20x = 3 + 2(x + -2) Combine like terms: 12 + -4 = 8 8 + 20x = 3 + 2(x + -2) Reorder the terms: 8 + 20x = 3 + 2(-2 + x) 8 + 20x = 3 + (-2 * 2 + x * 2) 8 + 20x = 3 + (-4 + 2x) Combine like terms: 3 + -4 = -1 8 + 20x = -1 + 2x Solving 8 + 20x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 20x + -2x = -1 + 2x + -2x Combine like terms: 20x + -2x = 18x 8 + 18x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 18x = -1 + 0 8 + 18x = -1 Add '-8' to each side of the equation. 8 + -8 + 18x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = -1 + -8 18x = -1 + -8 Combine like terms: -1 + -8 = -9 18x = -9 Divide each side by '18'. x = -0.5 Simplifying x = -0.5
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