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Simplifying -1(3x + -7) + 10 = -6x + -2(x + 4) Reorder the terms: -1(-7 + 3x) + 10 = -6x + -2(x + 4) (-7 * -1 + 3x * -1) + 10 = -6x + -2(x + 4) (7 + -3x) + 10 = -6x + -2(x + 4) Reorder the terms: 7 + 10 + -3x = -6x + -2(x + 4) Combine like terms: 7 + 10 = 17 17 + -3x = -6x + -2(x + 4) Reorder the terms: 17 + -3x = -6x + -2(4 + x) 17 + -3x = -6x + (4 * -2 + x * -2) 17 + -3x = -6x + (-8 + -2x) Reorder the terms: 17 + -3x = -8 + -6x + -2x Combine like terms: -6x + -2x = -8x 17 + -3x = -8 + -8x Solving 17 + -3x = -8 + -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. 17 + -3x + 8x = -8 + -8x + 8x Combine like terms: -3x + 8x = 5x 17 + 5x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 17 + 5x = -8 + 0 17 + 5x = -8 Add '-17' to each side of the equation. 17 + -17 + 5x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = -8 + -17 5x = -8 + -17 Combine like terms: -8 + -17 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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