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Simplifying 3(2x + 1) + 13x + -12 = 18x + -3 Reorder the terms: 3(1 + 2x) + 13x + -12 = 18x + -3 (1 * 3 + 2x * 3) + 13x + -12 = 18x + -3 (3 + 6x) + 13x + -12 = 18x + -3 Reorder the terms: 3 + -12 + 6x + 13x = 18x + -3 Combine like terms: 3 + -12 = -9 -9 + 6x + 13x = 18x + -3 Combine like terms: 6x + 13x = 19x -9 + 19x = 18x + -3 Reorder the terms: -9 + 19x = -3 + 18x Solving -9 + 19x = -3 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -9 + 19x + -18x = -3 + 18x + -18x Combine like terms: 19x + -18x = 1x -9 + 1x = -3 + 18x + -18x Combine like terms: 18x + -18x = 0 -9 + 1x = -3 + 0 -9 + 1x = -3 Add '9' to each side of the equation. -9 + 9 + 1x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -3 + 9 1x = -3 + 9 Combine like terms: -3 + 9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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