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Simplifying 4(3x + -5) + -2(x + 3) = 8x Reorder the terms: 4(-5 + 3x) + -2(x + 3) = 8x (-5 * 4 + 3x * 4) + -2(x + 3) = 8x (-20 + 12x) + -2(x + 3) = 8x Reorder the terms: -20 + 12x + -2(3 + x) = 8x -20 + 12x + (3 * -2 + x * -2) = 8x -20 + 12x + (-6 + -2x) = 8x Reorder the terms: -20 + -6 + 12x + -2x = 8x Combine like terms: -20 + -6 = -26 -26 + 12x + -2x = 8x Combine like terms: 12x + -2x = 10x -26 + 10x = 8x Solving -26 + 10x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -26 + 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x -26 + 2x = 8x + -8x Combine like terms: 8x + -8x = 0 -26 + 2x = 0 Add '26' to each side of the equation. -26 + 26 + 2x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 0 + 26 2x = 0 + 26 Combine like terms: 0 + 26 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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