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Simplifying 8(x + 2) + -3(x + -4) = 6(x + -7) + 8x Reorder the terms: 8(2 + x) + -3(x + -4) = 6(x + -7) + 8x (2 * 8 + x * 8) + -3(x + -4) = 6(x + -7) + 8x (16 + 8x) + -3(x + -4) = 6(x + -7) + 8x Reorder the terms: 16 + 8x + -3(-4 + x) = 6(x + -7) + 8x 16 + 8x + (-4 * -3 + x * -3) = 6(x + -7) + 8x 16 + 8x + (12 + -3x) = 6(x + -7) + 8x Reorder the terms: 16 + 12 + 8x + -3x = 6(x + -7) + 8x Combine like terms: 16 + 12 = 28 28 + 8x + -3x = 6(x + -7) + 8x Combine like terms: 8x + -3x = 5x 28 + 5x = 6(x + -7) + 8x Reorder the terms: 28 + 5x = 6(-7 + x) + 8x 28 + 5x = (-7 * 6 + x * 6) + 8x 28 + 5x = (-42 + 6x) + 8x Combine like terms: 6x + 8x = 14x 28 + 5x = -42 + 14x Solving 28 + 5x = -42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 28 + 5x + -14x = -42 + 14x + -14x Combine like terms: 5x + -14x = -9x 28 + -9x = -42 + 14x + -14x Combine like terms: 14x + -14x = 0 28 + -9x = -42 + 0 28 + -9x = -42 Add '-28' to each side of the equation. 28 + -28 + -9x = -42 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = -42 + -28 -9x = -42 + -28 Combine like terms: -42 + -28 = -70 -9x = -70 Divide each side by '-9'. x = 7.777777778 Simplifying x = 7.777777778
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