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Simplifying -1(x + -7) + 1.66 = (2x + 9) Reorder the terms: -1(-7 + x) + 1.66 = (2x + 9) (-7 * -1 + x * -1) + 1.66 = (2x + 9) (7 + -1x) + 1.66 = (2x + 9) Reorder the terms: 7 + 1.66 + -1x = (2x + 9) Combine like terms: 7 + 1.66 = 8.66 8.66 + -1x = (2x + 9) Reorder the terms: 8.66 + -1x = (9 + 2x) Remove parenthesis around (9 + 2x) 8.66 + -1x = 9 + 2x Solving 8.66 + -1x = 9 + 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. 8.66 + -1x + -2x = 9 + 2x + -2x Combine like terms: -1x + -2x = -3x 8.66 + -3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 8.66 + -3x = 9 + 0 8.66 + -3x = 9 Add '-8.66' to each side of the equation. 8.66 + -8.66 + -3x = 9 + -8.66 Combine like terms: 8.66 + -8.66 = 0.00 0.00 + -3x = 9 + -8.66 -3x = 9 + -8.66 Combine like terms: 9 + -8.66 = 0.34 -3x = 0.34 Divide each side by '-3'. x = -0.1133333333 Simplifying x = -0.1133333333
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