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Simplifying -3x + -2 + -8(x + -3) = 4x + -1(5x + -6) + -7x + 4 Reorder the terms: -3x + -2 + -8(-3 + x) = 4x + -1(5x + -6) + -7x + 4 -3x + -2 + (-3 * -8 + x * -8) = 4x + -1(5x + -6) + -7x + 4 -3x + -2 + (24 + -8x) = 4x + -1(5x + -6) + -7x + 4 Reorder the terms: -2 + 24 + -3x + -8x = 4x + -1(5x + -6) + -7x + 4 Combine like terms: -2 + 24 = 22 22 + -3x + -8x = 4x + -1(5x + -6) + -7x + 4 Combine like terms: -3x + -8x = -11x 22 + -11x = 4x + -1(5x + -6) + -7x + 4 Reorder the terms: 22 + -11x = 4x + -1(-6 + 5x) + -7x + 4 22 + -11x = 4x + (-6 * -1 + 5x * -1) + -7x + 4 22 + -11x = 4x + (6 + -5x) + -7x + 4 Reorder the terms: 22 + -11x = 6 + 4 + 4x + -5x + -7x Combine like terms: 6 + 4 = 10 22 + -11x = 10 + 4x + -5x + -7x Combine like terms: 4x + -5x = -1x 22 + -11x = 10 + -1x + -7x Combine like terms: -1x + -7x = -8x 22 + -11x = 10 + -8x Solving 22 + -11x = 10 + -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. 22 + -11x + 8x = 10 + -8x + 8x Combine like terms: -11x + 8x = -3x 22 + -3x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 22 + -3x = 10 + 0 22 + -3x = 10 Add '-22' to each side of the equation. 22 + -22 + -3x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 10 + -22 -3x = 10 + -22 Combine like terms: 10 + -22 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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