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Simplifying 10 + -1(4x + -2) = 3 + -5x Reorder the terms: 10 + -1(-2 + 4x) = 3 + -5x 10 + (-2 * -1 + 4x * -1) = 3 + -5x 10 + (2 + -4x) = 3 + -5x Combine like terms: 10 + 2 = 12 12 + -4x = 3 + -5x Solving 12 + -4x = 3 + -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. 12 + -4x + 5x = 3 + -5x + 5x Combine like terms: -4x + 5x = 1x 12 + 1x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 1x = 3 + 0 12 + 1x = 3 Add '-12' to each side of the equation. 12 + -12 + 1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 3 + -12 1x = 3 + -12 Combine like terms: 3 + -12 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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