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Simplifying 5(3 + -1x) + -6 = -2(x + 3) (3 * 5 + -1x * 5) + -6 = -2(x + 3) (15 + -5x) + -6 = -2(x + 3) Reorder the terms: 15 + -6 + -5x = -2(x + 3) Combine like terms: 15 + -6 = 9 9 + -5x = -2(x + 3) Reorder the terms: 9 + -5x = -2(3 + x) 9 + -5x = (3 * -2 + x * -2) 9 + -5x = (-6 + -2x) Solving 9 + -5x = -6 + -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. 9 + -5x + 2x = -6 + -2x + 2x Combine like terms: -5x + 2x = -3x 9 + -3x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + -3x = -6 + 0 9 + -3x = -6 Add '-9' to each side of the equation. 9 + -9 + -3x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -6 + -9 -3x = -6 + -9 Combine like terms: -6 + -9 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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