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Simplifying 13 + -45 = 3(x + -5) + -8 Combine like terms: 13 + -45 = -32 -32 = 3(x + -5) + -8 Reorder the terms: -32 = 3(-5 + x) + -8 -32 = (-5 * 3 + x * 3) + -8 -32 = (-15 + 3x) + -8 Reorder the terms: -32 = -15 + -8 + 3x Combine like terms: -15 + -8 = -23 -32 = -23 + 3x Solving -32 = -23 + 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 + -3x = -23 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -3x = -23 + 0 -32 + -3x = -23 Add '32' to each side of the equation. -32 + 32 + -3x = -23 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = -23 + 32 -3x = -23 + 32 Combine like terms: -23 + 32 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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