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Simplifying 8(2x + 6) + -3x = 9 + -1(3x + 3) Reorder the terms: 8(6 + 2x) + -3x = 9 + -1(3x + 3) (6 * 8 + 2x * 8) + -3x = 9 + -1(3x + 3) (48 + 16x) + -3x = 9 + -1(3x + 3) Combine like terms: 16x + -3x = 13x 48 + 13x = 9 + -1(3x + 3) Reorder the terms: 48 + 13x = 9 + -1(3 + 3x) 48 + 13x = 9 + (3 * -1 + 3x * -1) 48 + 13x = 9 + (-3 + -3x) Combine like terms: 9 + -3 = 6 48 + 13x = 6 + -3x Solving 48 + 13x = 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. 48 + 13x + 3x = 6 + -3x + 3x Combine like terms: 13x + 3x = 16x 48 + 16x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 48 + 16x = 6 + 0 48 + 16x = 6 Add '-48' to each side of the equation. 48 + -48 + 16x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + 16x = 6 + -48 16x = 6 + -48 Combine like terms: 6 + -48 = -42 16x = -42 Divide each side by '16'. x = -2.625 Simplifying x = -2.625
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