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Simplifying 5(x + 8) + 2x + 3(x + -12) = 6x + 14 + -1x Reorder the terms: 5(8 + x) + 2x + 3(x + -12) = 6x + 14 + -1x (8 * 5 + x * 5) + 2x + 3(x + -12) = 6x + 14 + -1x (40 + 5x) + 2x + 3(x + -12) = 6x + 14 + -1x Reorder the terms: 40 + 5x + 2x + 3(-12 + x) = 6x + 14 + -1x 40 + 5x + 2x + (-12 * 3 + x * 3) = 6x + 14 + -1x 40 + 5x + 2x + (-36 + 3x) = 6x + 14 + -1x Reorder the terms: 40 + -36 + 5x + 2x + 3x = 6x + 14 + -1x Combine like terms: 40 + -36 = 4 4 + 5x + 2x + 3x = 6x + 14 + -1x Combine like terms: 5x + 2x = 7x 4 + 7x + 3x = 6x + 14 + -1x Combine like terms: 7x + 3x = 10x 4 + 10x = 6x + 14 + -1x Reorder the terms: 4 + 10x = 14 + 6x + -1x Combine like terms: 6x + -1x = 5x 4 + 10x = 14 + 5x Solving 4 + 10x = 14 + 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. 4 + 10x + -5x = 14 + 5x + -5x Combine like terms: 10x + -5x = 5x 4 + 5x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 5x = 14 + 0 4 + 5x = 14 Add '-4' to each side of the equation. 4 + -4 + 5x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 14 + -4 5x = 14 + -4 Combine like terms: 14 + -4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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