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Simplifying 3(5x + -3) + -10x = 2(x + -9) Reorder the terms: 3(-3 + 5x) + -10x = 2(x + -9) (-3 * 3 + 5x * 3) + -10x = 2(x + -9) (-9 + 15x) + -10x = 2(x + -9) Combine like terms: 15x + -10x = 5x -9 + 5x = 2(x + -9) Reorder the terms: -9 + 5x = 2(-9 + x) -9 + 5x = (-9 * 2 + x * 2) -9 + 5x = (-18 + 2x) Solving -9 + 5x = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 5x + -2x = -18 + 2x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 3x = -18 + 0 -9 + 3x = -18 Add '9' to each side of the equation. -9 + 9 + 3x = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -18 + 9 3x = -18 + 9 Combine like terms: -18 + 9 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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