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Simplifying 3(6x + -5) + 2(5x + 7) = 3(9x + 2) Reorder the terms: 3(-5 + 6x) + 2(5x + 7) = 3(9x + 2) (-5 * 3 + 6x * 3) + 2(5x + 7) = 3(9x + 2) (-15 + 18x) + 2(5x + 7) = 3(9x + 2) Reorder the terms: -15 + 18x + 2(7 + 5x) = 3(9x + 2) -15 + 18x + (7 * 2 + 5x * 2) = 3(9x + 2) -15 + 18x + (14 + 10x) = 3(9x + 2) Reorder the terms: -15 + 14 + 18x + 10x = 3(9x + 2) Combine like terms: -15 + 14 = -1 -1 + 18x + 10x = 3(9x + 2) Combine like terms: 18x + 10x = 28x -1 + 28x = 3(9x + 2) Reorder the terms: -1 + 28x = 3(2 + 9x) -1 + 28x = (2 * 3 + 9x * 3) -1 + 28x = (6 + 27x) Solving -1 + 28x = 6 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -1 + 28x + -27x = 6 + 27x + -27x Combine like terms: 28x + -27x = 1x -1 + 1x = 6 + 27x + -27x Combine like terms: 27x + -27x = 0 -1 + 1x = 6 + 0 -1 + 1x = 6 Add '1' to each side of the equation. -1 + 1 + 1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 6 + 1 1x = 6 + 1 Combine like terms: 6 + 1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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