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Simplifying 8(x + -4) = -6(x + 2) + 48 Reorder the terms: 8(-4 + x) = -6(x + 2) + 48 (-4 * 8 + x * 8) = -6(x + 2) + 48 (-32 + 8x) = -6(x + 2) + 48 Reorder the terms: -32 + 8x = -6(2 + x) + 48 -32 + 8x = (2 * -6 + x * -6) + 48 -32 + 8x = (-12 + -6x) + 48 Reorder the terms: -32 + 8x = -12 + 48 + -6x Combine like terms: -12 + 48 = 36 -32 + 8x = 36 + -6x Solving -32 + 8x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -32 + 8x + 6x = 36 + -6x + 6x Combine like terms: 8x + 6x = 14x -32 + 14x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + 14x = 36 + 0 -32 + 14x = 36 Add '32' to each side of the equation. -32 + 32 + 14x = 36 + 32 Combine like terms: -32 + 32 = 0 0 + 14x = 36 + 32 14x = 36 + 32 Combine like terms: 36 + 32 = 68 14x = 68 Divide each side by '14'. x = 4.857142857 Simplifying x = 4.857142857
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