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Simplifying -10(x + 1) + 5(3x + -5) = 4(x + -6) + 10 Reorder the terms: -10(1 + x) + 5(3x + -5) = 4(x + -6) + 10 (1 * -10 + x * -10) + 5(3x + -5) = 4(x + -6) + 10 (-10 + -10x) + 5(3x + -5) = 4(x + -6) + 10 Reorder the terms: -10 + -10x + 5(-5 + 3x) = 4(x + -6) + 10 -10 + -10x + (-5 * 5 + 3x * 5) = 4(x + -6) + 10 -10 + -10x + (-25 + 15x) = 4(x + -6) + 10 Reorder the terms: -10 + -25 + -10x + 15x = 4(x + -6) + 10 Combine like terms: -10 + -25 = -35 -35 + -10x + 15x = 4(x + -6) + 10 Combine like terms: -10x + 15x = 5x -35 + 5x = 4(x + -6) + 10 Reorder the terms: -35 + 5x = 4(-6 + x) + 10 -35 + 5x = (-6 * 4 + x * 4) + 10 -35 + 5x = (-24 + 4x) + 10 Reorder the terms: -35 + 5x = -24 + 10 + 4x Combine like terms: -24 + 10 = -14 -35 + 5x = -14 + 4x Solving -35 + 5x = -14 + 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. -35 + 5x + -4x = -14 + 4x + -4x Combine like terms: 5x + -4x = 1x -35 + 1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 1x = -14 + 0 -35 + 1x = -14 Add '35' to each side of the equation. -35 + 35 + 1x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = -14 + 35 1x = -14 + 35 Combine like terms: -14 + 35 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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