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Simplifying 4(3x + -5) + 5x = 7(19 + -3x) + -1 Reorder the terms: 4(-5 + 3x) + 5x = 7(19 + -3x) + -1 (-5 * 4 + 3x * 4) + 5x = 7(19 + -3x) + -1 (-20 + 12x) + 5x = 7(19 + -3x) + -1 Combine like terms: 12x + 5x = 17x -20 + 17x = 7(19 + -3x) + -1 -20 + 17x = (19 * 7 + -3x * 7) + -1 -20 + 17x = (133 + -21x) + -1 Reorder the terms: -20 + 17x = 133 + -1 + -21x Combine like terms: 133 + -1 = 132 -20 + 17x = 132 + -21x Solving -20 + 17x = 132 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -20 + 17x + 21x = 132 + -21x + 21x Combine like terms: 17x + 21x = 38x -20 + 38x = 132 + -21x + 21x Combine like terms: -21x + 21x = 0 -20 + 38x = 132 + 0 -20 + 38x = 132 Add '20' to each side of the equation. -20 + 20 + 38x = 132 + 20 Combine like terms: -20 + 20 = 0 0 + 38x = 132 + 20 38x = 132 + 20 Combine like terms: 132 + 20 = 152 38x = 152 Divide each side by '38'. x = 4 Simplifying x = 4
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