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Simplifying 10 + -1(2x + 9) = -3(15 + -4x) Reorder the terms: 10 + -1(9 + 2x) = -3(15 + -4x) 10 + (9 * -1 + 2x * -1) = -3(15 + -4x) 10 + (-9 + -2x) = -3(15 + -4x) Combine like terms: 10 + -9 = 1 1 + -2x = -3(15 + -4x) 1 + -2x = (15 * -3 + -4x * -3) 1 + -2x = (-45 + 12x) Solving 1 + -2x = -45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + -2x + -12x = -45 + 12x + -12x Combine like terms: -2x + -12x = -14x 1 + -14x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -14x = -45 + 0 1 + -14x = -45 Add '-1' to each side of the equation. 1 + -1 + -14x = -45 + -1 Combine like terms: 1 + -1 = 0 0 + -14x = -45 + -1 -14x = -45 + -1 Combine like terms: -45 + -1 = -46 -14x = -46 Divide each side by '-14'. x = 3.285714286 Simplifying x = 3.285714286
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