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Simplifying -8(x + 6) + -3(-1x + -5) = 2(x + 4) Reorder the terms: -8(6 + x) + -3(-1x + -5) = 2(x + 4) (6 * -8 + x * -8) + -3(-1x + -5) = 2(x + 4) (-48 + -8x) + -3(-1x + -5) = 2(x + 4) Reorder the terms: -48 + -8x + -3(-5 + -1x) = 2(x + 4) -48 + -8x + (-5 * -3 + -1x * -3) = 2(x + 4) -48 + -8x + (15 + 3x) = 2(x + 4) Reorder the terms: -48 + 15 + -8x + 3x = 2(x + 4) Combine like terms: -48 + 15 = -33 -33 + -8x + 3x = 2(x + 4) Combine like terms: -8x + 3x = -5x -33 + -5x = 2(x + 4) Reorder the terms: -33 + -5x = 2(4 + x) -33 + -5x = (4 * 2 + x * 2) -33 + -5x = (8 + 2x) Solving -33 + -5x = 8 + 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. -33 + -5x + -2x = 8 + 2x + -2x Combine like terms: -5x + -2x = -7x -33 + -7x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + -7x = 8 + 0 -33 + -7x = 8 Add '33' to each side of the equation. -33 + 33 + -7x = 8 + 33 Combine like terms: -33 + 33 = 0 0 + -7x = 8 + 33 -7x = 8 + 33 Combine like terms: 8 + 33 = 41 -7x = 41 Divide each side by '-7'. x = -5.857142857 Simplifying x = -5.857142857
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