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Simplifying 3(2x + -3) + 5x = 5(2x + 1) + 7 Reorder the terms: 3(-3 + 2x) + 5x = 5(2x + 1) + 7 (-3 * 3 + 2x * 3) + 5x = 5(2x + 1) + 7 (-9 + 6x) + 5x = 5(2x + 1) + 7 Combine like terms: 6x + 5x = 11x -9 + 11x = 5(2x + 1) + 7 Reorder the terms: -9 + 11x = 5(1 + 2x) + 7 -9 + 11x = (1 * 5 + 2x * 5) + 7 -9 + 11x = (5 + 10x) + 7 Reorder the terms: -9 + 11x = 5 + 7 + 10x Combine like terms: 5 + 7 = 12 -9 + 11x = 12 + 10x Solving -9 + 11x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -9 + 11x + -10x = 12 + 10x + -10x Combine like terms: 11x + -10x = 1x -9 + 1x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 1x = 12 + 0 -9 + 1x = 12 Add '9' to each side of the equation. -9 + 9 + 1x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 12 + 9 1x = 12 + 9 Combine like terms: 12 + 9 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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