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Simplifying -1(x + -7) + 1.67 = 2(x + 9) Reorder the terms: -1(-7 + x) + 1.67 = 2(x + 9) (-7 * -1 + x * -1) + 1.67 = 2(x + 9) (7 + -1x) + 1.67 = 2(x + 9) Reorder the terms: 7 + 1.67 + -1x = 2(x + 9) Combine like terms: 7 + 1.67 = 8.67 8.67 + -1x = 2(x + 9) Reorder the terms: 8.67 + -1x = 2(9 + x) 8.67 + -1x = (9 * 2 + x * 2) 8.67 + -1x = (18 + 2x) Solving 8.67 + -1x = 18 + 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. 8.67 + -1x + -2x = 18 + 2x + -2x Combine like terms: -1x + -2x = -3x 8.67 + -3x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 8.67 + -3x = 18 + 0 8.67 + -3x = 18 Add '-8.67' to each side of the equation. 8.67 + -8.67 + -3x = 18 + -8.67 Combine like terms: 8.67 + -8.67 = 0.00 0.00 + -3x = 18 + -8.67 -3x = 18 + -8.67 Combine like terms: 18 + -8.67 = 9.33 -3x = 9.33 Divide each side by '-3'. x = -3.11 Simplifying x = -3.11
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