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Simplifying -32 = -3x + -5(3x + -8) Reorder the terms: -32 = -3x + -5(-8 + 3x) -32 = -3x + (-8 * -5 + 3x * -5) -32 = -3x + (40 + -15x) Reorder the terms: -32 = 40 + -3x + -15x Combine like terms: -3x + -15x = -18x -32 = 40 + -18x Solving -32 = 40 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -32 + 18x = 40 + -18x + 18x Combine like terms: -18x + 18x = 0 -32 + 18x = 40 + 0 -32 + 18x = 40 Add '32' to each side of the equation. -32 + 32 + 18x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 18x = 40 + 32 18x = 40 + 32 Combine like terms: 40 + 32 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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