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Simplifying -79 = -8(4x + -3) + 7(5 + -2x) Reorder the terms: -79 = -8(-3 + 4x) + 7(5 + -2x) -79 = (-3 * -8 + 4x * -8) + 7(5 + -2x) -79 = (24 + -32x) + 7(5 + -2x) -79 = 24 + -32x + (5 * 7 + -2x * 7) -79 = 24 + -32x + (35 + -14x) Reorder the terms: -79 = 24 + 35 + -32x + -14x Combine like terms: 24 + 35 = 59 -79 = 59 + -32x + -14x Combine like terms: -32x + -14x = -46x -79 = 59 + -46x Solving -79 = 59 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. -79 + 46x = 59 + -46x + 46x Combine like terms: -46x + 46x = 0 -79 + 46x = 59 + 0 -79 + 46x = 59 Add '79' to each side of the equation. -79 + 79 + 46x = 59 + 79 Combine like terms: -79 + 79 = 0 0 + 46x = 59 + 79 46x = 59 + 79 Combine like terms: 59 + 79 = 138 46x = 138 Divide each side by '46'. x = 3 Simplifying x = 3
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