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Simplifying -2(3x + -6) + 5 = -2x + 3 + 10x Reorder the terms: -2(-6 + 3x) + 5 = -2x + 3 + 10x (-6 * -2 + 3x * -2) + 5 = -2x + 3 + 10x (12 + -6x) + 5 = -2x + 3 + 10x Reorder the terms: 12 + 5 + -6x = -2x + 3 + 10x Combine like terms: 12 + 5 = 17 17 + -6x = -2x + 3 + 10x Reorder the terms: 17 + -6x = 3 + -2x + 10x Combine like terms: -2x + 10x = 8x 17 + -6x = 3 + 8x Solving 17 + -6x = 3 + 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 + -6x + -8x = 3 + 8x + -8x Combine like terms: -6x + -8x = -14x 17 + -14x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -14x = 3 + 0 17 + -14x = 3 Add '-17' to each side of the equation. 17 + -17 + -14x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -14x = 3 + -17 -14x = 3 + -17 Combine like terms: 3 + -17 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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