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Simplifying 10x + -1(-6x + 6) = (x + -3) + -5(5x + -4) Reorder the terms: 10x + -1(6 + -6x) = (x + -3) + -5(5x + -4) 10x + (6 * -1 + -6x * -1) = (x + -3) + -5(5x + -4) 10x + (-6 + 6x) = (x + -3) + -5(5x + -4) Reorder the terms: -6 + 10x + 6x = (x + -3) + -5(5x + -4) Combine like terms: 10x + 6x = 16x -6 + 16x = (x + -3) + -5(5x + -4) Reorder the terms: -6 + 16x = (-3 + x) + -5(5x + -4) Remove parenthesis around (-3 + x) -6 + 16x = -3 + x + -5(5x + -4) Reorder the terms: -6 + 16x = -3 + x + -5(-4 + 5x) -6 + 16x = -3 + x + (-4 * -5 + 5x * -5) -6 + 16x = -3 + x + (20 + -25x) Reorder the terms: -6 + 16x = -3 + 20 + x + -25x Combine like terms: -3 + 20 = 17 -6 + 16x = 17 + x + -25x Combine like terms: x + -25x = -24x -6 + 16x = 17 + -24x Solving -6 + 16x = 17 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -6 + 16x + 24x = 17 + -24x + 24x Combine like terms: 16x + 24x = 40x -6 + 40x = 17 + -24x + 24x Combine like terms: -24x + 24x = 0 -6 + 40x = 17 + 0 -6 + 40x = 17 Add '6' to each side of the equation. -6 + 6 + 40x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 40x = 17 + 6 40x = 17 + 6 Combine like terms: 17 + 6 = 23 40x = 23 Divide each side by '40'. x = 0.575 Simplifying x = 0.575
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