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Simplifying -79 = 8(-2x + 2) + -7(2x + 5) Reorder the terms: -79 = 8(2 + -2x) + -7(2x + 5) -79 = (2 * 8 + -2x * 8) + -7(2x + 5) -79 = (16 + -16x) + -7(2x + 5) Reorder the terms: -79 = 16 + -16x + -7(5 + 2x) -79 = 16 + -16x + (5 * -7 + 2x * -7) -79 = 16 + -16x + (-35 + -14x) Reorder the terms: -79 = 16 + -35 + -16x + -14x Combine like terms: 16 + -35 = -19 -79 = -19 + -16x + -14x Combine like terms: -16x + -14x = -30x -79 = -19 + -30x Solving -79 = -19 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -79 + 30x = -19 + -30x + 30x Combine like terms: -30x + 30x = 0 -79 + 30x = -19 + 0 -79 + 30x = -19 Add '79' to each side of the equation. -79 + 79 + 30x = -19 + 79 Combine like terms: -79 + 79 = 0 0 + 30x = -19 + 79 30x = -19 + 79 Combine like terms: -19 + 79 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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