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Simplifying 5(x + -3) = 10x + -1(2x + 5) Reorder the terms: 5(-3 + x) = 10x + -1(2x + 5) (-3 * 5 + x * 5) = 10x + -1(2x + 5) (-15 + 5x) = 10x + -1(2x + 5) Reorder the terms: -15 + 5x = 10x + -1(5 + 2x) -15 + 5x = 10x + (5 * -1 + 2x * -1) -15 + 5x = 10x + (-5 + -2x) Reorder the terms: -15 + 5x = -5 + 10x + -2x Combine like terms: 10x + -2x = 8x -15 + 5x = -5 + 8x Solving -15 + 5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 5x + -8x = -5 + 8x + -8x Combine like terms: 5x + -8x = -3x -15 + -3x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -3x = -5 + 0 -15 + -3x = -5 Add '15' to each side of the equation. -15 + 15 + -3x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -5 + 15 -3x = -5 + 15 Combine like terms: -5 + 15 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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