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Simplifying 4(3x + 1) + -2(2x + -2) = 13 Reorder the terms: 4(1 + 3x) + -2(2x + -2) = 13 (1 * 4 + 3x * 4) + -2(2x + -2) = 13 (4 + 12x) + -2(2x + -2) = 13 Reorder the terms: 4 + 12x + -2(-2 + 2x) = 13 4 + 12x + (-2 * -2 + 2x * -2) = 13 4 + 12x + (4 + -4x) = 13 Reorder the terms: 4 + 4 + 12x + -4x = 13 Combine like terms: 4 + 4 = 8 8 + 12x + -4x = 13 Combine like terms: 12x + -4x = 8x 8 + 8x = 13 Solving 8 + 8x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 13 + -8 8x = 13 + -8 Combine like terms: 13 + -8 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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