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Simplifying -3x + -32 = 4(x + 6) Reorder the terms: -32 + -3x = 4(x + 6) Reorder the terms: -32 + -3x = 4(6 + x) -32 + -3x = (6 * 4 + x * 4) -32 + -3x = (24 + 4x) Solving -32 + -3x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -32 + -3x + -4x = 24 + 4x + -4x Combine like terms: -3x + -4x = -7x -32 + -7x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -7x = 24 + 0 -32 + -7x = 24 Add '32' to each side of the equation. -32 + 32 + -7x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 24 + 32 -7x = 24 + 32 Combine like terms: 24 + 32 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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