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Simplifying 12(x + -3) + -32 = 5(13 + x) Reorder the terms: 12(-3 + x) + -32 = 5(13 + x) (-3 * 12 + x * 12) + -32 = 5(13 + x) (-36 + 12x) + -32 = 5(13 + x) Reorder the terms: -36 + -32 + 12x = 5(13 + x) Combine like terms: -36 + -32 = -68 -68 + 12x = 5(13 + x) -68 + 12x = (13 * 5 + x * 5) -68 + 12x = (65 + 5x) Solving -68 + 12x = 65 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -68 + 12x + -5x = 65 + 5x + -5x Combine like terms: 12x + -5x = 7x -68 + 7x = 65 + 5x + -5x Combine like terms: 5x + -5x = 0 -68 + 7x = 65 + 0 -68 + 7x = 65 Add '68' to each side of the equation. -68 + 68 + 7x = 65 + 68 Combine like terms: -68 + 68 = 0 0 + 7x = 65 + 68 7x = 65 + 68 Combine like terms: 65 + 68 = 133 7x = 133 Divide each side by '7'. x = 19 Simplifying x = 19
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