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Simplifying -7x + -32 = -3 + 3(x + -2) Reorder the terms: -32 + -7x = -3 + 3(x + -2) Reorder the terms: -32 + -7x = -3 + 3(-2 + x) -32 + -7x = -3 + (-2 * 3 + x * 3) -32 + -7x = -3 + (-6 + 3x) Combine like terms: -3 + -6 = -9 -32 + -7x = -9 + 3x Solving -32 + -7x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + -7x + -3x = -9 + 3x + -3x Combine like terms: -7x + -3x = -10x -32 + -10x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -10x = -9 + 0 -32 + -10x = -9 Add '32' to each side of the equation. -32 + 32 + -10x = -9 + 32 Combine like terms: -32 + 32 = 0 0 + -10x = -9 + 32 -10x = -9 + 32 Combine like terms: -9 + 32 = 23 -10x = 23 Divide each side by '-10'. x = -2.3 Simplifying x = -2.3
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