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Simplifying -3(x + 8) + -1(-6x + -7) = 2x Reorder the terms: -3(8 + x) + -1(-6x + -7) = 2x (8 * -3 + x * -3) + -1(-6x + -7) = 2x (-24 + -3x) + -1(-6x + -7) = 2x Reorder the terms: -24 + -3x + -1(-7 + -6x) = 2x -24 + -3x + (-7 * -1 + -6x * -1) = 2x -24 + -3x + (7 + 6x) = 2x Reorder the terms: -24 + 7 + -3x + 6x = 2x Combine like terms: -24 + 7 = -17 -17 + -3x + 6x = 2x Combine like terms: -3x + 6x = 3x -17 + 3x = 2x Solving -17 + 3x = 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. -17 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x -17 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 1x = 0 Add '17' to each side of the equation. -17 + 17 + 1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 0 + 17 1x = 0 + 17 Combine like terms: 0 + 17 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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