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Simplifying 5(2x + -3) + 2 = 3(3x + -1) Reorder the terms: 5(-3 + 2x) + 2 = 3(3x + -1) (-3 * 5 + 2x * 5) + 2 = 3(3x + -1) (-15 + 10x) + 2 = 3(3x + -1) Reorder the terms: -15 + 2 + 10x = 3(3x + -1) Combine like terms: -15 + 2 = -13 -13 + 10x = 3(3x + -1) Reorder the terms: -13 + 10x = 3(-1 + 3x) -13 + 10x = (-1 * 3 + 3x * 3) -13 + 10x = (-3 + 9x) Solving -13 + 10x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 10x + -9x = -3 + 9x + -9x Combine like terms: 10x + -9x = 1x -13 + 1x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 1x = -3 + 0 -13 + 1x = -3 Add '13' to each side of the equation. -13 + 13 + 1x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -3 + 13 1x = -3 + 13 Combine like terms: -3 + 13 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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