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Simplifying 5(x + 8) + 3x + -14 = 2(x + -9) + -6(x + -2) + -4 Reorder the terms: 5(8 + x) + 3x + -14 = 2(x + -9) + -6(x + -2) + -4 (8 * 5 + x * 5) + 3x + -14 = 2(x + -9) + -6(x + -2) + -4 (40 + 5x) + 3x + -14 = 2(x + -9) + -6(x + -2) + -4 Reorder the terms: 40 + -14 + 5x + 3x = 2(x + -9) + -6(x + -2) + -4 Combine like terms: 40 + -14 = 26 26 + 5x + 3x = 2(x + -9) + -6(x + -2) + -4 Combine like terms: 5x + 3x = 8x 26 + 8x = 2(x + -9) + -6(x + -2) + -4 Reorder the terms: 26 + 8x = 2(-9 + x) + -6(x + -2) + -4 26 + 8x = (-9 * 2 + x * 2) + -6(x + -2) + -4 26 + 8x = (-18 + 2x) + -6(x + -2) + -4 Reorder the terms: 26 + 8x = -18 + 2x + -6(-2 + x) + -4 26 + 8x = -18 + 2x + (-2 * -6 + x * -6) + -4 26 + 8x = -18 + 2x + (12 + -6x) + -4 Reorder the terms: 26 + 8x = -18 + 12 + -4 + 2x + -6x Combine like terms: -18 + 12 = -6 26 + 8x = -6 + -4 + 2x + -6x Combine like terms: -6 + -4 = -10 26 + 8x = -10 + 2x + -6x Combine like terms: 2x + -6x = -4x 26 + 8x = -10 + -4x Solving 26 + 8x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 26 + 8x + 4x = -10 + -4x + 4x Combine like terms: 8x + 4x = 12x 26 + 12x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 26 + 12x = -10 + 0 26 + 12x = -10 Add '-26' to each side of the equation. 26 + -26 + 12x = -10 + -26 Combine like terms: 26 + -26 = 0 0 + 12x = -10 + -26 12x = -10 + -26 Combine like terms: -10 + -26 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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