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Simplifying 2(2x + -3) + 2(6x + 2) = 2(x + 1) Reorder the terms: 2(-3 + 2x) + 2(6x + 2) = 2(x + 1) (-3 * 2 + 2x * 2) + 2(6x + 2) = 2(x + 1) (-6 + 4x) + 2(6x + 2) = 2(x + 1) Reorder the terms: -6 + 4x + 2(2 + 6x) = 2(x + 1) -6 + 4x + (2 * 2 + 6x * 2) = 2(x + 1) -6 + 4x + (4 + 12x) = 2(x + 1) Reorder the terms: -6 + 4 + 4x + 12x = 2(x + 1) Combine like terms: -6 + 4 = -2 -2 + 4x + 12x = 2(x + 1) Combine like terms: 4x + 12x = 16x -2 + 16x = 2(x + 1) Reorder the terms: -2 + 16x = 2(1 + x) -2 + 16x = (1 * 2 + x * 2) -2 + 16x = (2 + 2x) Solving -2 + 16x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 16x + -2x = 2 + 2x + -2x Combine like terms: 16x + -2x = 14x -2 + 14x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 14x = 2 + 0 -2 + 14x = 2 Add '2' to each side of the equation. -2 + 2 + 14x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 2 + 2 14x = 2 + 2 Combine like terms: 2 + 2 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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