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Simplifying -3(x + -12) + 5 = 5(x + 4) + 2 Reorder the terms: -3(-12 + x) + 5 = 5(x + 4) + 2 (-12 * -3 + x * -3) + 5 = 5(x + 4) + 2 (36 + -3x) + 5 = 5(x + 4) + 2 Reorder the terms: 36 + 5 + -3x = 5(x + 4) + 2 Combine like terms: 36 + 5 = 41 41 + -3x = 5(x + 4) + 2 Reorder the terms: 41 + -3x = 5(4 + x) + 2 41 + -3x = (4 * 5 + x * 5) + 2 41 + -3x = (20 + 5x) + 2 Reorder the terms: 41 + -3x = 20 + 2 + 5x Combine like terms: 20 + 2 = 22 41 + -3x = 22 + 5x Solving 41 + -3x = 22 + 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. 41 + -3x + -5x = 22 + 5x + -5x Combine like terms: -3x + -5x = -8x 41 + -8x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -8x = 22 + 0 41 + -8x = 22 Add '-41' to each side of the equation. 41 + -41 + -8x = 22 + -41 Combine like terms: 41 + -41 = 0 0 + -8x = 22 + -41 -8x = 22 + -41 Combine like terms: 22 + -41 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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