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Simplifying (-3) * 1 + -1(-2x) + -4(x + -4) + -1(2 + -1x) = 1(x + -4) Multiply -3 * 1 -3 + -1(-2x) + -4(x + -4) + -1(2 + -1x) = 1(x + -4) Remove parenthesis around (-2x) -3 + -1 * -2x + -4(x + -4) + -1(2 + -1x) = 1(x + -4) Multiply -1 * -2 -3 + 2x + -4(x + -4) + -1(2 + -1x) = 1(x + -4) Reorder the terms: -3 + 2x + -4(-4 + x) + -1(2 + -1x) = 1(x + -4) -3 + 2x + (-4 * -4 + x * -4) + -1(2 + -1x) = 1(x + -4) -3 + 2x + (16 + -4x) + -1(2 + -1x) = 1(x + -4) -3 + 2x + 16 + -4x + (2 * -1 + -1x * -1) = 1(x + -4) -3 + 2x + 16 + -4x + (-2 + 1x) = 1(x + -4) Reorder the terms: -3 + 16 + -2 + 2x + -4x + 1x = 1(x + -4) Combine like terms: -3 + 16 = 13 13 + -2 + 2x + -4x + 1x = 1(x + -4) Combine like terms: 13 + -2 = 11 11 + 2x + -4x + 1x = 1(x + -4) Combine like terms: 2x + -4x = -2x 11 + -2x + 1x = 1(x + -4) Combine like terms: -2x + 1x = -1x 11 + -1x = 1(x + -4) Reorder the terms: 11 + -1x = 1(-4 + x) 11 + -1x = (-4 * 1 + x * 1) 11 + -1x = (-4 + 1x) Solving 11 + -1x = -4 + 1x 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 = -4 + 1x + -1x Combine like terms: -1x + -1x = -2x 11 + -2x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 11 + -2x = -4 + 0 11 + -2x = -4 Add '-11' to each side of the equation. 11 + -11 + -2x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -4 + -11 -2x = -4 + -11 Combine like terms: -4 + -11 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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