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Simplifying 2(3x + -5) = 15(8x + -15) Reorder the terms: 2(-5 + 3x) = 15(8x + -15) (-5 * 2 + 3x * 2) = 15(8x + -15) (-10 + 6x) = 15(8x + -15) Reorder the terms: -10 + 6x = 15(-15 + 8x) -10 + 6x = (-15 * 15 + 8x * 15) -10 + 6x = (-225 + 120x) Solving -10 + 6x = -225 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. -10 + 6x + -120x = -225 + 120x + -120x Combine like terms: 6x + -120x = -114x -10 + -114x = -225 + 120x + -120x Combine like terms: 120x + -120x = 0 -10 + -114x = -225 + 0 -10 + -114x = -225 Add '10' to each side of the equation. -10 + 10 + -114x = -225 + 10 Combine like terms: -10 + 10 = 0 0 + -114x = -225 + 10 -114x = -225 + 10 Combine like terms: -225 + 10 = -215 -114x = -215 Divide each side by '-114'. x = 1.885964912 Simplifying x = 1.885964912
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