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Simplifying 10 + -1(4x + -9) = 7 + -5x Reorder the terms: 10 + -1(-9 + 4x) = 7 + -5x 10 + (-9 * -1 + 4x * -1) = 7 + -5x 10 + (9 + -4x) = 7 + -5x Combine like terms: 10 + 9 = 19 19 + -4x = 7 + -5x Solving 19 + -4x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 19 + -4x + 5x = 7 + -5x + 5x Combine like terms: -4x + 5x = 1x 19 + 1x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 1x = 7 + 0 19 + 1x = 7 Add '-19' to each side of the equation. 19 + -19 + 1x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 7 + -19 1x = 7 + -19 Combine like terms: 7 + -19 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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