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Simplifying -1(x + -4) + -11x + 7 = -8x + 4 Reorder the terms: -1(-4 + x) + -11x + 7 = -8x + 4 (-4 * -1 + x * -1) + -11x + 7 = -8x + 4 (4 + -1x) + -11x + 7 = -8x + 4 Reorder the terms: 4 + 7 + -1x + -11x = -8x + 4 Combine like terms: 4 + 7 = 11 11 + -1x + -11x = -8x + 4 Combine like terms: -1x + -11x = -12x 11 + -12x = -8x + 4 Reorder the terms: 11 + -12x = 4 + -8x Solving 11 + -12x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 11 + -12x + 8x = 4 + -8x + 8x Combine like terms: -12x + 8x = -4x 11 + -4x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + -4x = 4 + 0 11 + -4x = 4 Add '-11' to each side of the equation. 11 + -11 + -4x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 4 + -11 -4x = 4 + -11 Combine like terms: 4 + -11 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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