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Simplifying 10 + -1(5x + -4) = 2(-2x + 3) Reorder the terms: 10 + -1(-4 + 5x) = 2(-2x + 3) 10 + (-4 * -1 + 5x * -1) = 2(-2x + 3) 10 + (4 + -5x) = 2(-2x + 3) Combine like terms: 10 + 4 = 14 14 + -5x = 2(-2x + 3) Reorder the terms: 14 + -5x = 2(3 + -2x) 14 + -5x = (3 * 2 + -2x * 2) 14 + -5x = (6 + -4x) Solving 14 + -5x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + -5x + 4x = 6 + -4x + 4x Combine like terms: -5x + 4x = -1x 14 + -1x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + -1x = 6 + 0 14 + -1x = 6 Add '-14' to each side of the equation. 14 + -14 + -1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 6 + -14 -1x = 6 + -14 Combine like terms: 6 + -14 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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