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Simplifying 8 + -3(x + -4) + 7 = 3 + 2(x + 5) + 4 Reorder the terms: 8 + -3(-4 + x) + 7 = 3 + 2(x + 5) + 4 8 + (-4 * -3 + x * -3) + 7 = 3 + 2(x + 5) + 4 8 + (12 + -3x) + 7 = 3 + 2(x + 5) + 4 Reorder the terms: 8 + 12 + 7 + -3x = 3 + 2(x + 5) + 4 Combine like terms: 8 + 12 = 20 20 + 7 + -3x = 3 + 2(x + 5) + 4 Combine like terms: 20 + 7 = 27 27 + -3x = 3 + 2(x + 5) + 4 Reorder the terms: 27 + -3x = 3 + 2(5 + x) + 4 27 + -3x = 3 + (5 * 2 + x * 2) + 4 27 + -3x = 3 + (10 + 2x) + 4 Reorder the terms: 27 + -3x = 3 + 10 + 4 + 2x Combine like terms: 3 + 10 = 13 27 + -3x = 13 + 4 + 2x Combine like terms: 13 + 4 = 17 27 + -3x = 17 + 2x Solving 27 + -3x = 17 + 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. 27 + -3x + -2x = 17 + 2x + -2x Combine like terms: -3x + -2x = -5x 27 + -5x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -5x = 17 + 0 27 + -5x = 17 Add '-27' to each side of the equation. 27 + -27 + -5x = 17 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 17 + -27 -5x = 17 + -27 Combine like terms: 17 + -27 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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