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Simplifying -68 = 2(x + 4) + 5(x + -4) Reorder the terms: -68 = 2(4 + x) + 5(x + -4) -68 = (4 * 2 + x * 2) + 5(x + -4) -68 = (8 + 2x) + 5(x + -4) Reorder the terms: -68 = 8 + 2x + 5(-4 + x) -68 = 8 + 2x + (-4 * 5 + x * 5) -68 = 8 + 2x + (-20 + 5x) Reorder the terms: -68 = 8 + -20 + 2x + 5x Combine like terms: 8 + -20 = -12 -68 = -12 + 2x + 5x Combine like terms: 2x + 5x = 7x -68 = -12 + 7x Solving -68 = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -68 + -7x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -68 + -7x = -12 + 0 -68 + -7x = -12 Add '68' to each side of the equation. -68 + 68 + -7x = -12 + 68 Combine like terms: -68 + 68 = 0 0 + -7x = -12 + 68 -7x = -12 + 68 Combine like terms: -12 + 68 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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