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Simplifying 3(4x + -5) = 7(6x + 8) + 79 Reorder the terms: 3(-5 + 4x) = 7(6x + 8) + 79 (-5 * 3 + 4x * 3) = 7(6x + 8) + 79 (-15 + 12x) = 7(6x + 8) + 79 Reorder the terms: -15 + 12x = 7(8 + 6x) + 79 -15 + 12x = (8 * 7 + 6x * 7) + 79 -15 + 12x = (56 + 42x) + 79 Reorder the terms: -15 + 12x = 56 + 79 + 42x Combine like terms: 56 + 79 = 135 -15 + 12x = 135 + 42x Solving -15 + 12x = 135 + 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. -15 + 12x + -42x = 135 + 42x + -42x Combine like terms: 12x + -42x = -30x -15 + -30x = 135 + 42x + -42x Combine like terms: 42x + -42x = 0 -15 + -30x = 135 + 0 -15 + -30x = 135 Add '15' to each side of the equation. -15 + 15 + -30x = 135 + 15 Combine like terms: -15 + 15 = 0 0 + -30x = 135 + 15 -30x = 135 + 15 Combine like terms: 135 + 15 = 150 -30x = 150 Divide each side by '-30'. x = -5 Simplifying x = -5
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