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Simplifying -1x + -32 = 3(2x + -5) + 4 Reorder the terms: -32 + -1x = 3(2x + -5) + 4 Reorder the terms: -32 + -1x = 3(-5 + 2x) + 4 -32 + -1x = (-5 * 3 + 2x * 3) + 4 -32 + -1x = (-15 + 6x) + 4 Reorder the terms: -32 + -1x = -15 + 4 + 6x Combine like terms: -15 + 4 = -11 -32 + -1x = -11 + 6x Solving -32 + -1x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + -1x + -6x = -11 + 6x + -6x Combine like terms: -1x + -6x = -7x -32 + -7x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -7x = -11 + 0 -32 + -7x = -11 Add '32' to each side of the equation. -32 + 32 + -7x = -11 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = -11 + 32 -7x = -11 + 32 Combine like terms: -11 + 32 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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