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Simplifying 4(3x + -5) + (7x + 5) = 4(3x + 10) + -2 Reorder the terms: 4(-5 + 3x) + (7x + 5) = 4(3x + 10) + -2 (-5 * 4 + 3x * 4) + (7x + 5) = 4(3x + 10) + -2 (-20 + 12x) + (7x + 5) = 4(3x + 10) + -2 Reorder the terms: -20 + 12x + (5 + 7x) = 4(3x + 10) + -2 Remove parenthesis around (5 + 7x) -20 + 12x + 5 + 7x = 4(3x + 10) + -2 Reorder the terms: -20 + 5 + 12x + 7x = 4(3x + 10) + -2 Combine like terms: -20 + 5 = -15 -15 + 12x + 7x = 4(3x + 10) + -2 Combine like terms: 12x + 7x = 19x -15 + 19x = 4(3x + 10) + -2 Reorder the terms: -15 + 19x = 4(10 + 3x) + -2 -15 + 19x = (10 * 4 + 3x * 4) + -2 -15 + 19x = (40 + 12x) + -2 Reorder the terms: -15 + 19x = 40 + -2 + 12x Combine like terms: 40 + -2 = 38 -15 + 19x = 38 + 12x Solving -15 + 19x = 38 + 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. -15 + 19x + -12x = 38 + 12x + -12x Combine like terms: 19x + -12x = 7x -15 + 7x = 38 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 7x = 38 + 0 -15 + 7x = 38 Add '15' to each side of the equation. -15 + 15 + 7x = 38 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 38 + 15 7x = 38 + 15 Combine like terms: 38 + 15 = 53 7x = 53 Divide each side by '7'. x = 7.571428571 Simplifying x = 7.571428571
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