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Simplifying 8(x + -4) = -6(x + 1) + 37 Reorder the terms: 8(-4 + x) = -6(x + 1) + 37 (-4 * 8 + x * 8) = -6(x + 1) + 37 (-32 + 8x) = -6(x + 1) + 37 Reorder the terms: -32 + 8x = -6(1 + x) + 37 -32 + 8x = (1 * -6 + x * -6) + 37 -32 + 8x = (-6 + -6x) + 37 Reorder the terms: -32 + 8x = -6 + 37 + -6x Combine like terms: -6 + 37 = 31 -32 + 8x = 31 + -6x Solving -32 + 8x = 31 + -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 = 31 + -6x + 6x Combine like terms: 8x + 6x = 14x -32 + 14x = 31 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + 14x = 31 + 0 -32 + 14x = 31 Add '32' to each side of the equation. -32 + 32 + 14x = 31 + 32 Combine like terms: -32 + 32 = 0 0 + 14x = 31 + 32 14x = 31 + 32 Combine like terms: 31 + 32 = 63 14x = 63 Divide each side by '14'. x = 4.5 Simplifying x = 4.5
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