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Simplifying 3(x + 15) + 21 = 3(5x + 10) + -3x Reorder the terms: 3(15 + x) + 21 = 3(5x + 10) + -3x (15 * 3 + x * 3) + 21 = 3(5x + 10) + -3x (45 + 3x) + 21 = 3(5x + 10) + -3x Reorder the terms: 45 + 21 + 3x = 3(5x + 10) + -3x Combine like terms: 45 + 21 = 66 66 + 3x = 3(5x + 10) + -3x Reorder the terms: 66 + 3x = 3(10 + 5x) + -3x 66 + 3x = (10 * 3 + 5x * 3) + -3x 66 + 3x = (30 + 15x) + -3x Combine like terms: 15x + -3x = 12x 66 + 3x = 30 + 12x Solving 66 + 3x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 66 + 3x + -12x = 30 + 12x + -12x Combine like terms: 3x + -12x = -9x 66 + -9x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 66 + -9x = 30 + 0 66 + -9x = 30 Add '-66' to each side of the equation. 66 + -66 + -9x = 30 + -66 Combine like terms: 66 + -66 = 0 0 + -9x = 30 + -66 -9x = 30 + -66 Combine like terms: 30 + -66 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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