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Simplifying 4x + -1(3x + -5) = 10x + 8 + 6 Reorder the terms: 4x + -1(-5 + 3x) = 10x + 8 + 6 4x + (-5 * -1 + 3x * -1) = 10x + 8 + 6 4x + (5 + -3x) = 10x + 8 + 6 Reorder the terms: 5 + 4x + -3x = 10x + 8 + 6 Combine like terms: 4x + -3x = 1x 5 + 1x = 10x + 8 + 6 Reorder the terms: 5 + 1x = 8 + 6 + 10x Combine like terms: 8 + 6 = 14 5 + 1x = 14 + 10x Solving 5 + 1x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 1x + -10x = 14 + 10x + -10x Combine like terms: 1x + -10x = -9x 5 + -9x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -9x = 14 + 0 5 + -9x = 14 Add '-5' to each side of the equation. 5 + -5 + -9x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 14 + -5 -9x = 14 + -5 Combine like terms: 14 + -5 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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