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Simplifying 8(x + -4) = 6(x + 7) Reorder the terms: 8(-4 + x) = 6(x + 7) (-4 * 8 + x * 8) = 6(x + 7) (-32 + 8x) = 6(x + 7) Reorder the terms: -32 + 8x = 6(7 + x) -32 + 8x = (7 * 6 + x * 6) -32 + 8x = (42 + 6x) Solving -32 + 8x = 42 + 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 = 42 + 6x + -6x Combine like terms: 8x + -6x = 2x -32 + 2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 2x = 42 + 0 -32 + 2x = 42 Add '32' to each side of the equation. -32 + 32 + 2x = 42 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 42 + 32 2x = 42 + 32 Combine like terms: 42 + 32 = 74 2x = 74 Divide each side by '2'. x = 37 Simplifying x = 37
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