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Simplifying 5(3x + -2) = 2(7x + -4) Reorder the terms: 5(-2 + 3x) = 2(7x + -4) (-2 * 5 + 3x * 5) = 2(7x + -4) (-10 + 15x) = 2(7x + -4) Reorder the terms: -10 + 15x = 2(-4 + 7x) -10 + 15x = (-4 * 2 + 7x * 2) -10 + 15x = (-8 + 14x) Solving -10 + 15x = -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. -10 + 15x + -14x = -8 + 14x + -14x Combine like terms: 15x + -14x = 1x -10 + 1x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + 1x = -8 + 0 -10 + 1x = -8 Add '10' to each side of the equation. -10 + 10 + 1x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -8 + 10 1x = -8 + 10 Combine like terms: -8 + 10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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