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Simplifying 4(3x + -3) + -10 = 2x + -32 Reorder the terms: 4(-3 + 3x) + -10 = 2x + -32 (-3 * 4 + 3x * 4) + -10 = 2x + -32 (-12 + 12x) + -10 = 2x + -32 Reorder the terms: -12 + -10 + 12x = 2x + -32 Combine like terms: -12 + -10 = -22 -22 + 12x = 2x + -32 Reorder the terms: -22 + 12x = -32 + 2x Solving -22 + 12x = -32 + 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. -22 + 12x + -2x = -32 + 2x + -2x Combine like terms: 12x + -2x = 10x -22 + 10x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 10x = -32 + 0 -22 + 10x = -32 Add '22' to each side of the equation. -22 + 22 + 10x = -32 + 22 Combine like terms: -22 + 22 = 0 0 + 10x = -32 + 22 10x = -32 + 22 Combine like terms: -32 + 22 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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