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Simplifying 5(2x + 1) + -3(2x + -3) = 63 Reorder the terms: 5(1 + 2x) + -3(2x + -3) = 63 (1 * 5 + 2x * 5) + -3(2x + -3) = 63 (5 + 10x) + -3(2x + -3) = 63 Reorder the terms: 5 + 10x + -3(-3 + 2x) = 63 5 + 10x + (-3 * -3 + 2x * -3) = 63 5 + 10x + (9 + -6x) = 63 Reorder the terms: 5 + 9 + 10x + -6x = 63 Combine like terms: 5 + 9 = 14 14 + 10x + -6x = 63 Combine like terms: 10x + -6x = 4x 14 + 4x = 63 Solving 14 + 4x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4x = 63 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 63 + -14 4x = 63 + -14 Combine like terms: 63 + -14 = 49 4x = 49 Divide each side by '4'. x = 12.25 Simplifying x = 12.25
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