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Simplifying 5(x + -6) + 3 = 18 + -1(3 + 2x) Reorder the terms: 5(-6 + x) + 3 = 18 + -1(3 + 2x) (-6 * 5 + x * 5) + 3 = 18 + -1(3 + 2x) (-30 + 5x) + 3 = 18 + -1(3 + 2x) Reorder the terms: -30 + 3 + 5x = 18 + -1(3 + 2x) Combine like terms: -30 + 3 = -27 -27 + 5x = 18 + -1(3 + 2x) -27 + 5x = 18 + (3 * -1 + 2x * -1) -27 + 5x = 18 + (-3 + -2x) Combine like terms: 18 + -3 = 15 -27 + 5x = 15 + -2x Solving -27 + 5x = 15 + -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. -27 + 5x + 2x = 15 + -2x + 2x Combine like terms: 5x + 2x = 7x -27 + 7x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 7x = 15 + 0 -27 + 7x = 15 Add '27' to each side of the equation. -27 + 27 + 7x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 15 + 27 7x = 15 + 27 Combine like terms: 15 + 27 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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