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Simplifying 8(x + -4) = 15(x + 2) Reorder the terms: 8(-4 + x) = 15(x + 2) (-4 * 8 + x * 8) = 15(x + 2) (-32 + 8x) = 15(x + 2) Reorder the terms: -32 + 8x = 15(2 + x) -32 + 8x = (2 * 15 + x * 15) -32 + 8x = (30 + 15x) Solving -32 + 8x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -32 + 8x + -15x = 30 + 15x + -15x Combine like terms: 8x + -15x = -7x -32 + -7x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 -32 + -7x = 30 + 0 -32 + -7x = 30 Add '32' to each side of the equation. -32 + 32 + -7x = 30 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 30 + 32 -7x = 30 + 32 Combine like terms: 30 + 32 = 62 -7x = 62 Divide each side by '-7'. x = -8.857142857 Simplifying x = -8.857142857
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