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Simplifying 79 = -5(2x + 3) + -7(-4 + 8x) Reorder the terms: 79 = -5(3 + 2x) + -7(-4 + 8x) 79 = (3 * -5 + 2x * -5) + -7(-4 + 8x) 79 = (-15 + -10x) + -7(-4 + 8x) 79 = -15 + -10x + (-4 * -7 + 8x * -7) 79 = -15 + -10x + (28 + -56x) Reorder the terms: 79 = -15 + 28 + -10x + -56x Combine like terms: -15 + 28 = 13 79 = 13 + -10x + -56x Combine like terms: -10x + -56x = -66x 79 = 13 + -66x Solving 79 = 13 + -66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66x' to each side of the equation. 79 + 66x = 13 + -66x + 66x Combine like terms: -66x + 66x = 0 79 + 66x = 13 + 0 79 + 66x = 13 Add '-79' to each side of the equation. 79 + -79 + 66x = 13 + -79 Combine like terms: 79 + -79 = 0 0 + 66x = 13 + -79 66x = 13 + -79 Combine like terms: 13 + -79 = -66 66x = -66 Divide each side by '66'. x = -1 Simplifying x = -1
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