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Simplifying 3(2x + 1) + -3(x + -3) = 63 Reorder the terms: 3(1 + 2x) + -3(x + -3) = 63 (1 * 3 + 2x * 3) + -3(x + -3) = 63 (3 + 6x) + -3(x + -3) = 63 Reorder the terms: 3 + 6x + -3(-3 + x) = 63 3 + 6x + (-3 * -3 + x * -3) = 63 3 + 6x + (9 + -3x) = 63 Reorder the terms: 3 + 9 + 6x + -3x = 63 Combine like terms: 3 + 9 = 12 12 + 6x + -3x = 63 Combine like terms: 6x + -3x = 3x 12 + 3x = 63 Solving 12 + 3x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 63 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 63 + -12 3x = 63 + -12 Combine like terms: 63 + -12 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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