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Simplifying 3 + -4(x + -2) + -1(3 + -1x) = 6 + (2x + 3) Reorder the terms: 3 + -4(-2 + x) + -1(3 + -1x) = 6 + (2x + 3) 3 + (-2 * -4 + x * -4) + -1(3 + -1x) = 6 + (2x + 3) 3 + (8 + -4x) + -1(3 + -1x) = 6 + (2x + 3) 3 + 8 + -4x + (3 * -1 + -1x * -1) = 6 + (2x + 3) 3 + 8 + -4x + (-3 + 1x) = 6 + (2x + 3) Reorder the terms: 3 + 8 + -3 + -4x + 1x = 6 + (2x + 3) Combine like terms: 3 + 8 = 11 11 + -3 + -4x + 1x = 6 + (2x + 3) Combine like terms: 11 + -3 = 8 8 + -4x + 1x = 6 + (2x + 3) Combine like terms: -4x + 1x = -3x 8 + -3x = 6 + (2x + 3) Reorder the terms: 8 + -3x = 6 + (3 + 2x) Remove parenthesis around (3 + 2x) 8 + -3x = 6 + 3 + 2x Combine like terms: 6 + 3 = 9 8 + -3x = 9 + 2x Solving 8 + -3x = 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 + -3x + -2x = 9 + 2x + -2x Combine like terms: -3x + -2x = -5x 8 + -5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -5x = 9 + 0 8 + -5x = 9 Add '-8' to each side of the equation. 8 + -8 + -5x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 9 + -8 -5x = 9 + -8 Combine like terms: 9 + -8 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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