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Simplifying 3x + -1(12x + -1x) = 5 + 2(x + -1) + -1 Combine like terms: 12x + -1x = 11x 3x + -1(11x) = 5 + 2(x + -1) + -1 Remove parenthesis around (11x) 3x + -1 * 11x = 5 + 2(x + -1) + -1 Multiply -1 * 11 3x + -11x = 5 + 2(x + -1) + -1 Combine like terms: 3x + -11x = -8x -8x = 5 + 2(x + -1) + -1 Reorder the terms: -8x = 5 + 2(-1 + x) + -1 -8x = 5 + (-1 * 2 + x * 2) + -1 -8x = 5 + (-2 + 2x) + -1 Reorder the terms: -8x = 5 + -2 + -1 + 2x Combine like terms: 5 + -2 = 3 -8x = 3 + -1 + 2x Combine like terms: 3 + -1 = 2 -8x = 2 + 2x Solving -8x = 2 + 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. -8x + -2x = 2 + 2x + -2x Combine like terms: -8x + -2x = -10x -10x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10x = 2 + 0 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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