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Simplifying 5(3 + 2x) = 10x + 63 + -3x (3 * 5 + 2x * 5) = 10x + 63 + -3x (15 + 10x) = 10x + 63 + -3x Reorder the terms: 15 + 10x = 63 + 10x + -3x Combine like terms: 10x + -3x = 7x 15 + 10x = 63 + 7x Solving 15 + 10x = 63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 10x + -7x = 63 + 7x + -7x Combine like terms: 10x + -7x = 3x 15 + 3x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 3x = 63 + 0 15 + 3x = 63 Add '-15' to each side of the equation. 15 + -15 + 3x = 63 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 63 + -15 3x = 63 + -15 Combine like terms: 63 + -15 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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