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Simplifying -10(x + 1) + -7 = 3(2x + 5) Reorder the terms: -10(1 + x) + -7 = 3(2x + 5) (1 * -10 + x * -10) + -7 = 3(2x + 5) (-10 + -10x) + -7 = 3(2x + 5) Reorder the terms: -10 + -7 + -10x = 3(2x + 5) Combine like terms: -10 + -7 = -17 -17 + -10x = 3(2x + 5) Reorder the terms: -17 + -10x = 3(5 + 2x) -17 + -10x = (5 * 3 + 2x * 3) -17 + -10x = (15 + 6x) Solving -17 + -10x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + -10x + -6x = 15 + 6x + -6x Combine like terms: -10x + -6x = -16x -17 + -16x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -16x = 15 + 0 -17 + -16x = 15 Add '17' to each side of the equation. -17 + 17 + -16x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -16x = 15 + 17 -16x = 15 + 17 Combine like terms: 15 + 17 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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