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Simplifying 5(x + 4) + 12 = 2(x + -3) + -1 Reorder the terms: 5(4 + x) + 12 = 2(x + -3) + -1 (4 * 5 + x * 5) + 12 = 2(x + -3) + -1 (20 + 5x) + 12 = 2(x + -3) + -1 Reorder the terms: 20 + 12 + 5x = 2(x + -3) + -1 Combine like terms: 20 + 12 = 32 32 + 5x = 2(x + -3) + -1 Reorder the terms: 32 + 5x = 2(-3 + x) + -1 32 + 5x = (-3 * 2 + x * 2) + -1 32 + 5x = (-6 + 2x) + -1 Reorder the terms: 32 + 5x = -6 + -1 + 2x Combine like terms: -6 + -1 = -7 32 + 5x = -7 + 2x Solving 32 + 5x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + 5x + -2x = -7 + 2x + -2x Combine like terms: 5x + -2x = 3x 32 + 3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 3x = -7 + 0 32 + 3x = -7 Add '-32' to each side of the equation. 32 + -32 + 3x = -7 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = -7 + -32 3x = -7 + -32 Combine like terms: -7 + -32 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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