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Simplifying -512 = 8(5x + -14) Reorder the terms: -512 = 8(-14 + 5x) -512 = (-14 * 8 + 5x * 8) -512 = (-112 + 40x) Solving -512 = -112 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -512 + -40x = -112 + 40x + -40x Combine like terms: 40x + -40x = 0 -512 + -40x = -112 + 0 -512 + -40x = -112 Add '512' to each side of the equation. -512 + 512 + -40x = -112 + 512 Combine like terms: -512 + 512 = 0 0 + -40x = -112 + 512 -40x = -112 + 512 Combine like terms: -112 + 512 = 400 -40x = 400 Divide each side by '-40'. x = -10 Simplifying x = -10
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