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Simplifying -10x + 5x + -9 = -2(15 + -1x) Reorder the terms: -9 + -10x + 5x = -2(15 + -1x) Combine like terms: -10x + 5x = -5x -9 + -5x = -2(15 + -1x) -9 + -5x = (15 * -2 + -1x * -2) -9 + -5x = (-30 + 2x) Solving -9 + -5x = -30 + 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. -9 + -5x + -2x = -30 + 2x + -2x Combine like terms: -5x + -2x = -7x -9 + -7x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -7x = -30 + 0 -9 + -7x = -30 Add '9' to each side of the equation. -9 + 9 + -7x = -30 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -30 + 9 -7x = -30 + 9 Combine like terms: -30 + 9 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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