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Simplifying 5(2x + 3) + 2x = x + 48 Reorder the terms: 5(3 + 2x) + 2x = x + 48 (3 * 5 + 2x * 5) + 2x = x + 48 (15 + 10x) + 2x = x + 48 Combine like terms: 10x + 2x = 12x 15 + 12x = x + 48 Reorder the terms: 15 + 12x = 48 + x Solving 15 + 12x = 48 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 12x + -1x = 48 + x + -1x Combine like terms: 12x + -1x = 11x 15 + 11x = 48 + x + -1x Combine like terms: x + -1x = 0 15 + 11x = 48 + 0 15 + 11x = 48 Add '-15' to each side of the equation. 15 + -15 + 11x = 48 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 48 + -15 11x = 48 + -15 Combine like terms: 48 + -15 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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