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Simplifying 79 = -3(6x + 1) + -8(3x + -5) Reorder the terms: 79 = -3(1 + 6x) + -8(3x + -5) 79 = (1 * -3 + 6x * -3) + -8(3x + -5) 79 = (-3 + -18x) + -8(3x + -5) Reorder the terms: 79 = -3 + -18x + -8(-5 + 3x) 79 = -3 + -18x + (-5 * -8 + 3x * -8) 79 = -3 + -18x + (40 + -24x) Reorder the terms: 79 = -3 + 40 + -18x + -24x Combine like terms: -3 + 40 = 37 79 = 37 + -18x + -24x Combine like terms: -18x + -24x = -42x 79 = 37 + -42x Solving 79 = 37 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 79 + 42x = 37 + -42x + 42x Combine like terms: -42x + 42x = 0 79 + 42x = 37 + 0 79 + 42x = 37 Add '-79' to each side of the equation. 79 + -79 + 42x = 37 + -79 Combine like terms: 79 + -79 = 0 0 + 42x = 37 + -79 42x = 37 + -79 Combine like terms: 37 + -79 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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