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Simplifying 4(x + 3) + -2(x + 7) + 5 = 5(x + 12) Reorder the terms: 4(3 + x) + -2(x + 7) + 5 = 5(x + 12) (3 * 4 + x * 4) + -2(x + 7) + 5 = 5(x + 12) (12 + 4x) + -2(x + 7) + 5 = 5(x + 12) Reorder the terms: 12 + 4x + -2(7 + x) + 5 = 5(x + 12) 12 + 4x + (7 * -2 + x * -2) + 5 = 5(x + 12) 12 + 4x + (-14 + -2x) + 5 = 5(x + 12) Reorder the terms: 12 + -14 + 5 + 4x + -2x = 5(x + 12) Combine like terms: 12 + -14 = -2 -2 + 5 + 4x + -2x = 5(x + 12) Combine like terms: -2 + 5 = 3 3 + 4x + -2x = 5(x + 12) Combine like terms: 4x + -2x = 2x 3 + 2x = 5(x + 12) Reorder the terms: 3 + 2x = 5(12 + x) 3 + 2x = (12 * 5 + x * 5) 3 + 2x = (60 + 5x) Solving 3 + 2x = 60 + 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. 3 + 2x + -5x = 60 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = 60 + 0 3 + -3x = 60 Add '-3' to each side of the equation. 3 + -3 + -3x = 60 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 60 + -3 -3x = 60 + -3 Combine like terms: 60 + -3 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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