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Simplifying 3(-6x + 5) = 3x + 9 + -2(8 + x) Reorder the terms: 3(5 + -6x) = 3x + 9 + -2(8 + x) (5 * 3 + -6x * 3) = 3x + 9 + -2(8 + x) (15 + -18x) = 3x + 9 + -2(8 + x) 15 + -18x = 3x + 9 + (8 * -2 + x * -2) 15 + -18x = 3x + 9 + (-16 + -2x) Reorder the terms: 15 + -18x = 9 + -16 + 3x + -2x Combine like terms: 9 + -16 = -7 15 + -18x = -7 + 3x + -2x Combine like terms: 3x + -2x = 1x 15 + -18x = -7 + 1x Solving 15 + -18x = -7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -18x + -1x = -7 + 1x + -1x Combine like terms: -18x + -1x = -19x 15 + -19x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -19x = -7 + 0 15 + -19x = -7 Add '-15' to each side of the equation. 15 + -15 + -19x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -19x = -7 + -15 -19x = -7 + -15 Combine like terms: -7 + -15 = -22 -19x = -22 Divide each side by '-19'. x = 1.157894737 Simplifying x = 1.157894737
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