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Simplifying 6(2x + -3) + 2(6x + 2) = 5(x + 1) Reorder the terms: 6(-3 + 2x) + 2(6x + 2) = 5(x + 1) (-3 * 6 + 2x * 6) + 2(6x + 2) = 5(x + 1) (-18 + 12x) + 2(6x + 2) = 5(x + 1) Reorder the terms: -18 + 12x + 2(2 + 6x) = 5(x + 1) -18 + 12x + (2 * 2 + 6x * 2) = 5(x + 1) -18 + 12x + (4 + 12x) = 5(x + 1) Reorder the terms: -18 + 4 + 12x + 12x = 5(x + 1) Combine like terms: -18 + 4 = -14 -14 + 12x + 12x = 5(x + 1) Combine like terms: 12x + 12x = 24x -14 + 24x = 5(x + 1) Reorder the terms: -14 + 24x = 5(1 + x) -14 + 24x = (1 * 5 + x * 5) -14 + 24x = (5 + 5x) Solving -14 + 24x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 24x + -5x = 5 + 5x + -5x Combine like terms: 24x + -5x = 19x -14 + 19x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 19x = 5 + 0 -14 + 19x = 5 Add '14' to each side of the equation. -14 + 14 + 19x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 19x = 5 + 14 19x = 5 + 14 Combine like terms: 5 + 14 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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