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Simplifying 3(2x + -5) + -5x = 8 + -3(5x + -2) Reorder the terms: 3(-5 + 2x) + -5x = 8 + -3(5x + -2) (-5 * 3 + 2x * 3) + -5x = 8 + -3(5x + -2) (-15 + 6x) + -5x = 8 + -3(5x + -2) Combine like terms: 6x + -5x = 1x -15 + 1x = 8 + -3(5x + -2) Reorder the terms: -15 + 1x = 8 + -3(-2 + 5x) -15 + 1x = 8 + (-2 * -3 + 5x * -3) -15 + 1x = 8 + (6 + -15x) Combine like terms: 8 + 6 = 14 -15 + 1x = 14 + -15x Solving -15 + 1x = 14 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -15 + 1x + 15x = 14 + -15x + 15x Combine like terms: 1x + 15x = 16x -15 + 16x = 14 + -15x + 15x Combine like terms: -15x + 15x = 0 -15 + 16x = 14 + 0 -15 + 16x = 14 Add '15' to each side of the equation. -15 + 15 + 16x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 16x = 14 + 15 16x = 14 + 15 Combine like terms: 14 + 15 = 29 16x = 29 Divide each side by '16'. x = 1.8125 Simplifying x = 1.8125
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