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Simplifying 4(x + -8) + 8 = 2(x + -7) Reorder the terms: 4(-8 + x) + 8 = 2(x + -7) (-8 * 4 + x * 4) + 8 = 2(x + -7) (-32 + 4x) + 8 = 2(x + -7) Reorder the terms: -32 + 8 + 4x = 2(x + -7) Combine like terms: -32 + 8 = -24 -24 + 4x = 2(x + -7) Reorder the terms: -24 + 4x = 2(-7 + x) -24 + 4x = (-7 * 2 + x * 2) -24 + 4x = (-14 + 2x) Solving -24 + 4x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 4x + -2x = -14 + 2x + -2x Combine like terms: 4x + -2x = 2x -24 + 2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 2x = -14 + 0 -24 + 2x = -14 Add '24' to each side of the equation. -24 + 24 + 2x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -14 + 24 2x = -14 + 24 Combine like terms: -14 + 24 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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