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Simplifying -10(x + 2) + 5(3x + -5) = 4(x + -3) + 8 Reorder the terms: -10(2 + x) + 5(3x + -5) = 4(x + -3) + 8 (2 * -10 + x * -10) + 5(3x + -5) = 4(x + -3) + 8 (-20 + -10x) + 5(3x + -5) = 4(x + -3) + 8 Reorder the terms: -20 + -10x + 5(-5 + 3x) = 4(x + -3) + 8 -20 + -10x + (-5 * 5 + 3x * 5) = 4(x + -3) + 8 -20 + -10x + (-25 + 15x) = 4(x + -3) + 8 Reorder the terms: -20 + -25 + -10x + 15x = 4(x + -3) + 8 Combine like terms: -20 + -25 = -45 -45 + -10x + 15x = 4(x + -3) + 8 Combine like terms: -10x + 15x = 5x -45 + 5x = 4(x + -3) + 8 Reorder the terms: -45 + 5x = 4(-3 + x) + 8 -45 + 5x = (-3 * 4 + x * 4) + 8 -45 + 5x = (-12 + 4x) + 8 Reorder the terms: -45 + 5x = -12 + 8 + 4x Combine like terms: -12 + 8 = -4 -45 + 5x = -4 + 4x Solving -45 + 5x = -4 + 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. -45 + 5x + -4x = -4 + 4x + -4x Combine like terms: 5x + -4x = 1x -45 + 1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 1x = -4 + 0 -45 + 1x = -4 Add '45' to each side of the equation. -45 + 45 + 1x = -4 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -4 + 45 1x = -4 + 45 Combine like terms: -4 + 45 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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