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Simplifying 4(5x + -3) + 3(2x + 1) = 5x + -72 Reorder the terms: 4(-3 + 5x) + 3(2x + 1) = 5x + -72 (-3 * 4 + 5x * 4) + 3(2x + 1) = 5x + -72 (-12 + 20x) + 3(2x + 1) = 5x + -72 Reorder the terms: -12 + 20x + 3(1 + 2x) = 5x + -72 -12 + 20x + (1 * 3 + 2x * 3) = 5x + -72 -12 + 20x + (3 + 6x) = 5x + -72 Reorder the terms: -12 + 3 + 20x + 6x = 5x + -72 Combine like terms: -12 + 3 = -9 -9 + 20x + 6x = 5x + -72 Combine like terms: 20x + 6x = 26x -9 + 26x = 5x + -72 Reorder the terms: -9 + 26x = -72 + 5x Solving -9 + 26x = -72 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 26x + -5x = -72 + 5x + -5x Combine like terms: 26x + -5x = 21x -9 + 21x = -72 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 21x = -72 + 0 -9 + 21x = -72 Add '9' to each side of the equation. -9 + 9 + 21x = -72 + 9 Combine like terms: -9 + 9 = 0 0 + 21x = -72 + 9 21x = -72 + 9 Combine like terms: -72 + 9 = -63 21x = -63 Divide each side by '21'. x = -3 Simplifying x = -3
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