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Simplifying 5(6x + -4) = 3(-4x + 35) + 1 Reorder the terms: 5(-4 + 6x) = 3(-4x + 35) + 1 (-4 * 5 + 6x * 5) = 3(-4x + 35) + 1 (-20 + 30x) = 3(-4x + 35) + 1 Reorder the terms: -20 + 30x = 3(35 + -4x) + 1 -20 + 30x = (35 * 3 + -4x * 3) + 1 -20 + 30x = (105 + -12x) + 1 Reorder the terms: -20 + 30x = 105 + 1 + -12x Combine like terms: 105 + 1 = 106 -20 + 30x = 106 + -12x Solving -20 + 30x = 106 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -20 + 30x + 12x = 106 + -12x + 12x Combine like terms: 30x + 12x = 42x -20 + 42x = 106 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + 42x = 106 + 0 -20 + 42x = 106 Add '20' to each side of the equation. -20 + 20 + 42x = 106 + 20 Combine like terms: -20 + 20 = 0 0 + 42x = 106 + 20 42x = 106 + 20 Combine like terms: 106 + 20 = 126 42x = 126 Divide each side by '42'. x = 3 Simplifying x = 3
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