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Simplifying 4(5x + 2) + 3(2x + -3) = 2x + 47 Reorder the terms: 4(2 + 5x) + 3(2x + -3) = 2x + 47 (2 * 4 + 5x * 4) + 3(2x + -3) = 2x + 47 (8 + 20x) + 3(2x + -3) = 2x + 47 Reorder the terms: 8 + 20x + 3(-3 + 2x) = 2x + 47 8 + 20x + (-3 * 3 + 2x * 3) = 2x + 47 8 + 20x + (-9 + 6x) = 2x + 47 Reorder the terms: 8 + -9 + 20x + 6x = 2x + 47 Combine like terms: 8 + -9 = -1 -1 + 20x + 6x = 2x + 47 Combine like terms: 20x + 6x = 26x -1 + 26x = 2x + 47 Reorder the terms: -1 + 26x = 47 + 2x Solving -1 + 26x = 47 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 26x + -2x = 47 + 2x + -2x Combine like terms: 26x + -2x = 24x -1 + 24x = 47 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 24x = 47 + 0 -1 + 24x = 47 Add '1' to each side of the equation. -1 + 1 + 24x = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 24x = 47 + 1 24x = 47 + 1 Combine like terms: 47 + 1 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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