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Simplifying 10 + -5x + 9x = -2(-9x + 2) Combine like terms: -5x + 9x = 4x 10 + 4x = -2(-9x + 2) Reorder the terms: 10 + 4x = -2(2 + -9x) 10 + 4x = (2 * -2 + -9x * -2) 10 + 4x = (-4 + 18x) Solving 10 + 4x = -4 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 10 + 4x + -18x = -4 + 18x + -18x Combine like terms: 4x + -18x = -14x 10 + -14x = -4 + 18x + -18x Combine like terms: 18x + -18x = 0 10 + -14x = -4 + 0 10 + -14x = -4 Add '-10' to each side of the equation. 10 + -10 + -14x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -4 + -10 -14x = -4 + -10 Combine like terms: -4 + -10 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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