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