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Simplifying 7(x + -8) + 10 = 4(x + -7) Reorder the terms: 7(-8 + x) + 10 = 4(x + -7) (-8 * 7 + x * 7) + 10 = 4(x + -7) (-56 + 7x) + 10 = 4(x + -7) Reorder the terms: -56 + 10 + 7x = 4(x + -7) Combine like terms: -56 + 10 = -46 -46 + 7x = 4(x + -7) Reorder the terms: -46 + 7x = 4(-7 + x) -46 + 7x = (-7 * 4 + x * 4) -46 + 7x = (-28 + 4x) Solving -46 + 7x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -46 + 7x + -4x = -28 + 4x + -4x Combine like terms: 7x + -4x = 3x -46 + 3x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -46 + 3x = -28 + 0 -46 + 3x = -28 Add '46' to each side of the equation. -46 + 46 + 3x = -28 + 46 Combine like terms: -46 + 46 = 0 0 + 3x = -28 + 46 3x = -28 + 46 Combine like terms: -28 + 46 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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