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Simplifying (-3x + 1) + 2(x + -6) = x + -1 + 8 Reorder the terms: (1 + -3x) + 2(x + -6) = x + -1 + 8 Remove parenthesis around (1 + -3x) 1 + -3x + 2(x + -6) = x + -1 + 8 Reorder the terms: 1 + -3x + 2(-6 + x) = x + -1 + 8 1 + -3x + (-6 * 2 + x * 2) = x + -1 + 8 1 + -3x + (-12 + 2x) = x + -1 + 8 Reorder the terms: 1 + -12 + -3x + 2x = x + -1 + 8 Combine like terms: 1 + -12 = -11 -11 + -3x + 2x = x + -1 + 8 Combine like terms: -3x + 2x = -1x -11 + -1x = x + -1 + 8 Reorder the terms: -11 + -1x = -1 + 8 + x Combine like terms: -1 + 8 = 7 -11 + -1x = 7 + x Solving -11 + -1x = 7 + x 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. -11 + -1x + -1x = 7 + x + -1x Combine like terms: -1x + -1x = -2x -11 + -2x = 7 + x + -1x Combine like terms: x + -1x = 0 -11 + -2x = 7 + 0 -11 + -2x = 7 Add '11' to each side of the equation. -11 + 11 + -2x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 7 + 11 -2x = 7 + 11 Combine like terms: 7 + 11 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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