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Simplifying 6(x + 4) + 2(x + 5) = 3(x + -1) + 4 Reorder the terms: 6(4 + x) + 2(x + 5) = 3(x + -1) + 4 (4 * 6 + x * 6) + 2(x + 5) = 3(x + -1) + 4 (24 + 6x) + 2(x + 5) = 3(x + -1) + 4 Reorder the terms: 24 + 6x + 2(5 + x) = 3(x + -1) + 4 24 + 6x + (5 * 2 + x * 2) = 3(x + -1) + 4 24 + 6x + (10 + 2x) = 3(x + -1) + 4 Reorder the terms: 24 + 10 + 6x + 2x = 3(x + -1) + 4 Combine like terms: 24 + 10 = 34 34 + 6x + 2x = 3(x + -1) + 4 Combine like terms: 6x + 2x = 8x 34 + 8x = 3(x + -1) + 4 Reorder the terms: 34 + 8x = 3(-1 + x) + 4 34 + 8x = (-1 * 3 + x * 3) + 4 34 + 8x = (-3 + 3x) + 4 Reorder the terms: 34 + 8x = -3 + 4 + 3x Combine like terms: -3 + 4 = 1 34 + 8x = 1 + 3x Solving 34 + 8x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 34 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x 34 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + 5x = 1 + 0 34 + 5x = 1 Add '-34' to each side of the equation. 34 + -34 + 5x = 1 + -34 Combine like terms: 34 + -34 = 0 0 + 5x = 1 + -34 5x = 1 + -34 Combine like terms: 1 + -34 = -33 5x = -33 Divide each side by '5'. x = -6.6 Simplifying x = -6.6
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