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Simplifying 2(3x + -5) = 7 + -5(2x + 3) Reorder the terms: 2(-5 + 3x) = 7 + -5(2x + 3) (-5 * 2 + 3x * 2) = 7 + -5(2x + 3) (-10 + 6x) = 7 + -5(2x + 3) Reorder the terms: -10 + 6x = 7 + -5(3 + 2x) -10 + 6x = 7 + (3 * -5 + 2x * -5) -10 + 6x = 7 + (-15 + -10x) Combine like terms: 7 + -15 = -8 -10 + 6x = -8 + -10x Solving -10 + 6x = -8 + -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. -10 + 6x + 10x = -8 + -10x + 10x Combine like terms: 6x + 10x = 16x -10 + 16x = -8 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 16x = -8 + 0 -10 + 16x = -8 Add '10' to each side of the equation. -10 + 10 + 16x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = -8 + 10 16x = -8 + 10 Combine like terms: -8 + 10 = 2 16x = 2 Divide each side by '16'. x = 0.125 Simplifying x = 0.125
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