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Simplifying -10(3 + -3x) + 3(5x + -4) = x (3 * -10 + -3x * -10) + 3(5x + -4) = x (-30 + 30x) + 3(5x + -4) = x Reorder the terms: -30 + 30x + 3(-4 + 5x) = x -30 + 30x + (-4 * 3 + 5x * 3) = x -30 + 30x + (-12 + 15x) = x Reorder the terms: -30 + -12 + 30x + 15x = x Combine like terms: -30 + -12 = -42 -42 + 30x + 15x = x Combine like terms: 30x + 15x = 45x -42 + 45x = x Solving -42 + 45x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + 45x + -1x = x + -1x Combine like terms: 45x + -1x = 44x -42 + 44x = x + -1x Combine like terms: x + -1x = 0 -42 + 44x = 0 Add '42' to each side of the equation. -42 + 42 + 44x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 44x = 0 + 42 44x = 0 + 42 Combine like terms: 0 + 42 = 42 44x = 42 Divide each side by '44'. x = 0.9545454545 Simplifying x = 0.9545454545
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