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Simplifying -3(-2x + 7) + -5 = 8(x + -3) + 17 Reorder the terms: -3(7 + -2x) + -5 = 8(x + -3) + 17 (7 * -3 + -2x * -3) + -5 = 8(x + -3) + 17 (-21 + 6x) + -5 = 8(x + -3) + 17 Reorder the terms: -21 + -5 + 6x = 8(x + -3) + 17 Combine like terms: -21 + -5 = -26 -26 + 6x = 8(x + -3) + 17 Reorder the terms: -26 + 6x = 8(-3 + x) + 17 -26 + 6x = (-3 * 8 + x * 8) + 17 -26 + 6x = (-24 + 8x) + 17 Reorder the terms: -26 + 6x = -24 + 17 + 8x Combine like terms: -24 + 17 = -7 -26 + 6x = -7 + 8x Solving -26 + 6x = -7 + 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. -26 + 6x + -8x = -7 + 8x + -8x Combine like terms: 6x + -8x = -2x -26 + -2x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -26 + -2x = -7 + 0 -26 + -2x = -7 Add '26' to each side of the equation. -26 + 26 + -2x = -7 + 26 Combine like terms: -26 + 26 = 0 0 + -2x = -7 + 26 -2x = -7 + 26 Combine like terms: -7 + 26 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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