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Simplifying 3(2x + -1) + 2(2x + 4) = 2x + 13 Reorder the terms: 3(-1 + 2x) + 2(2x + 4) = 2x + 13 (-1 * 3 + 2x * 3) + 2(2x + 4) = 2x + 13 (-3 + 6x) + 2(2x + 4) = 2x + 13 Reorder the terms: -3 + 6x + 2(4 + 2x) = 2x + 13 -3 + 6x + (4 * 2 + 2x * 2) = 2x + 13 -3 + 6x + (8 + 4x) = 2x + 13 Reorder the terms: -3 + 8 + 6x + 4x = 2x + 13 Combine like terms: -3 + 8 = 5 5 + 6x + 4x = 2x + 13 Combine like terms: 6x + 4x = 10x 5 + 10x = 2x + 13 Reorder the terms: 5 + 10x = 13 + 2x Solving 5 + 10x = 13 + 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. 5 + 10x + -2x = 13 + 2x + -2x Combine like terms: 10x + -2x = 8x 5 + 8x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 8x = 13 + 0 5 + 8x = 13 Add '-5' to each side of the equation. 5 + -5 + 8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 13 + -5 8x = 13 + -5 Combine like terms: 13 + -5 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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