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Simplifying -3(5 + -5x) = 10(3x + 4) (5 * -3 + -5x * -3) = 10(3x + 4) (-15 + 15x) = 10(3x + 4) Reorder the terms: -15 + 15x = 10(4 + 3x) -15 + 15x = (4 * 10 + 3x * 10) -15 + 15x = (40 + 30x) Solving -15 + 15x = 40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -15 + 15x + -30x = 40 + 30x + -30x Combine like terms: 15x + -30x = -15x -15 + -15x = 40 + 30x + -30x Combine like terms: 30x + -30x = 0 -15 + -15x = 40 + 0 -15 + -15x = 40 Add '15' to each side of the equation. -15 + 15 + -15x = 40 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = 40 + 15 -15x = 40 + 15 Combine like terms: 40 + 15 = 55 -15x = 55 Divide each side by '-15'. x = -3.666666667 Simplifying x = -3.666666667
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