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Simplifying 3(x + -2) + 2(3x + 5) = 3x + -5(2x + -1) + 7 Reorder the terms: 3(-2 + x) + 2(3x + 5) = 3x + -5(2x + -1) + 7 (-2 * 3 + x * 3) + 2(3x + 5) = 3x + -5(2x + -1) + 7 (-6 + 3x) + 2(3x + 5) = 3x + -5(2x + -1) + 7 Reorder the terms: -6 + 3x + 2(5 + 3x) = 3x + -5(2x + -1) + 7 -6 + 3x + (5 * 2 + 3x * 2) = 3x + -5(2x + -1) + 7 -6 + 3x + (10 + 6x) = 3x + -5(2x + -1) + 7 Reorder the terms: -6 + 10 + 3x + 6x = 3x + -5(2x + -1) + 7 Combine like terms: -6 + 10 = 4 4 + 3x + 6x = 3x + -5(2x + -1) + 7 Combine like terms: 3x + 6x = 9x 4 + 9x = 3x + -5(2x + -1) + 7 Reorder the terms: 4 + 9x = 3x + -5(-1 + 2x) + 7 4 + 9x = 3x + (-1 * -5 + 2x * -5) + 7 4 + 9x = 3x + (5 + -10x) + 7 Reorder the terms: 4 + 9x = 5 + 7 + 3x + -10x Combine like terms: 5 + 7 = 12 4 + 9x = 12 + 3x + -10x Combine like terms: 3x + -10x = -7x 4 + 9x = 12 + -7x Solving 4 + 9x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 9x + 7x = 12 + -7x + 7x Combine like terms: 9x + 7x = 16x 4 + 16x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 16x = 12 + 0 4 + 16x = 12 Add '-4' to each side of the equation. 4 + -4 + 16x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = 12 + -4 16x = 12 + -4 Combine like terms: 12 + -4 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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