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Simplifying 5(3 + -1x) + -12 = 3(x + 4) + -15 (3 * 5 + -1x * 5) + -12 = 3(x + 4) + -15 (15 + -5x) + -12 = 3(x + 4) + -15 Reorder the terms: 15 + -12 + -5x = 3(x + 4) + -15 Combine like terms: 15 + -12 = 3 3 + -5x = 3(x + 4) + -15 Reorder the terms: 3 + -5x = 3(4 + x) + -15 3 + -5x = (4 * 3 + x * 3) + -15 3 + -5x = (12 + 3x) + -15 Reorder the terms: 3 + -5x = 12 + -15 + 3x Combine like terms: 12 + -15 = -3 3 + -5x = -3 + 3x Solving 3 + -5x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -5x + -3x = -3 + 3x + -3x Combine like terms: -5x + -3x = -8x 3 + -8x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -8x = -3 + 0 3 + -8x = -3 Add '-3' to each side of the equation. 3 + -3 + -8x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -3 + -3 -8x = -3 + -3 Combine like terms: -3 + -3 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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