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Simplifying 2(3x + 5) + 4(2x + -3) = 124 Reorder the terms: 2(5 + 3x) + 4(2x + -3) = 124 (5 * 2 + 3x * 2) + 4(2x + -3) = 124 (10 + 6x) + 4(2x + -3) = 124 Reorder the terms: 10 + 6x + 4(-3 + 2x) = 124 10 + 6x + (-3 * 4 + 2x * 4) = 124 10 + 6x + (-12 + 8x) = 124 Reorder the terms: 10 + -12 + 6x + 8x = 124 Combine like terms: 10 + -12 = -2 -2 + 6x + 8x = 124 Combine like terms: 6x + 8x = 14x -2 + 14x = 124 Solving -2 + 14x = 124 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14x = 124 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 124 + 2 14x = 124 + 2 Combine like terms: 124 + 2 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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