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Simplifying 5(3 + -1x) + 12 = 6 + -3x (3 * 5 + -1x * 5) + 12 = 6 + -3x (15 + -5x) + 12 = 6 + -3x Reorder the terms: 15 + 12 + -5x = 6 + -3x Combine like terms: 15 + 12 = 27 27 + -5x = 6 + -3x Solving 27 + -5x = 6 + -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. 27 + -5x + 3x = 6 + -3x + 3x Combine like terms: -5x + 3x = -2x 27 + -2x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 27 + -2x = 6 + 0 27 + -2x = 6 Add '-27' to each side of the equation. 27 + -27 + -2x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 6 + -27 -2x = 6 + -27 Combine like terms: 6 + -27 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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