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Simplifying -3x + 6 + -5(x + -1) = -5x + -1(x + -4) + 5 Reorder the terms: -3x + 6 + -5(-1 + x) = -5x + -1(x + -4) + 5 -3x + 6 + (-1 * -5 + x * -5) = -5x + -1(x + -4) + 5 -3x + 6 + (5 + -5x) = -5x + -1(x + -4) + 5 Reorder the terms: 6 + 5 + -3x + -5x = -5x + -1(x + -4) + 5 Combine like terms: 6 + 5 = 11 11 + -3x + -5x = -5x + -1(x + -4) + 5 Combine like terms: -3x + -5x = -8x 11 + -8x = -5x + -1(x + -4) + 5 Reorder the terms: 11 + -8x = -5x + -1(-4 + x) + 5 11 + -8x = -5x + (-4 * -1 + x * -1) + 5 11 + -8x = -5x + (4 + -1x) + 5 Reorder the terms: 11 + -8x = 4 + 5 + -5x + -1x Combine like terms: 4 + 5 = 9 11 + -8x = 9 + -5x + -1x Combine like terms: -5x + -1x = -6x 11 + -8x = 9 + -6x Solving 11 + -8x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 11 + -8x + 6x = 9 + -6x + 6x Combine like terms: -8x + 6x = -2x 11 + -2x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + -2x = 9 + 0 11 + -2x = 9 Add '-11' to each side of the equation. 11 + -11 + -2x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 9 + -11 -2x = 9 + -11 Combine like terms: 9 + -11 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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