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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 = -14 -14 + 6x + 2x = 3(x + -1) + 4 Combine like terms: 6x + 2x = 8x -14 + 8x = 3(x + -1) + 4 Reorder the terms: -14 + 8x = 3(-1 + x) + 4 -14 + 8x = (-1 * 3 + x * 3) + 4 -14 + 8x = (-3 + 3x) + 4 Reorder the terms: -14 + 8x = -3 + 4 + 3x Combine like terms: -3 + 4 = 1 -14 + 8x = 1 + 3x Solving -14 + 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. -14 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x -14 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 5x = 1 + 0 -14 + 5x = 1 Add '14' to each side of the equation. -14 + 14 + 5x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 1 + 14 5x = 1 + 14 Combine like terms: 1 + 14 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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