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Simplifying -5(2x + -3) + 7x = 3(x + 6) Reorder the terms: -5(-3 + 2x) + 7x = 3(x + 6) (-3 * -5 + 2x * -5) + 7x = 3(x + 6) (15 + -10x) + 7x = 3(x + 6) Combine like terms: -10x + 7x = -3x 15 + -3x = 3(x + 6) Reorder the terms: 15 + -3x = 3(6 + x) 15 + -3x = (6 * 3 + x * 3) 15 + -3x = (18 + 3x) Solving 15 + -3x = 18 + 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. 15 + -3x + -3x = 18 + 3x + -3x Combine like terms: -3x + -3x = -6x 15 + -6x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -6x = 18 + 0 15 + -6x = 18 Add '-15' to each side of the equation. 15 + -15 + -6x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 18 + -15 -6x = 18 + -15 Combine like terms: 18 + -15 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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