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Simplifying 15(3x + -2) = 2(7x + -4) Reorder the terms: 15(-2 + 3x) = 2(7x + -4) (-2 * 15 + 3x * 15) = 2(7x + -4) (-30 + 45x) = 2(7x + -4) Reorder the terms: -30 + 45x = 2(-4 + 7x) -30 + 45x = (-4 * 2 + 7x * 2) -30 + 45x = (-8 + 14x) Solving -30 + 45x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -30 + 45x + -14x = -8 + 14x + -14x Combine like terms: 45x + -14x = 31x -30 + 31x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + 31x = -8 + 0 -30 + 31x = -8 Add '30' to each side of the equation. -30 + 30 + 31x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 31x = -8 + 30 31x = -8 + 30 Combine like terms: -8 + 30 = 22 31x = 22 Divide each side by '31'. x = 0.7096774194 Simplifying x = 0.7096774194
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