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Simplifying 3(x + -2) + 2(x + 5) = 2[x + (2x + -1)] Reorder the terms: 3(-2 + x) + 2(x + 5) = 2[x + (2x + -1)] (-2 * 3 + x * 3) + 2(x + 5) = 2[x + (2x + -1)] (-6 + 3x) + 2(x + 5) = 2[x + (2x + -1)] Reorder the terms: -6 + 3x + 2(5 + x) = 2[x + (2x + -1)] -6 + 3x + (5 * 2 + x * 2) = 2[x + (2x + -1)] -6 + 3x + (10 + 2x) = 2[x + (2x + -1)] Reorder the terms: -6 + 10 + 3x + 2x = 2[x + (2x + -1)] Combine like terms: -6 + 10 = 4 4 + 3x + 2x = 2[x + (2x + -1)] Combine like terms: 3x + 2x = 5x 4 + 5x = 2[x + (2x + -1)] Reorder the terms: 4 + 5x = 2[x + (-1 + 2x)] Remove parenthesis around (-1 + 2x) 4 + 5x = 2[x + -1 + 2x] Reorder the terms: 4 + 5x = 2[-1 + x + 2x] Combine like terms: x + 2x = 3x 4 + 5x = 2[-1 + 3x] 4 + 5x = [-1 * 2 + 3x * 2] 4 + 5x = [-2 + 6x] Solving 4 + 5x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 5x + -6x = -2 + 6x + -6x Combine like terms: 5x + -6x = -1x 4 + -1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -1x = -2 + 0 4 + -1x = -2 Add '-4' to each side of the equation. 4 + -4 + -1x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -2 + -4 -1x = -2 + -4 Combine like terms: -2 + -4 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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