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Simplifying 4(5x + -2) + -6x = -2(3w + -4) Reorder the terms: 4(-2 + 5x) + -6x = -2(3w + -4) (-2 * 4 + 5x * 4) + -6x = -2(3w + -4) (-8 + 20x) + -6x = -2(3w + -4) Combine like terms: 20x + -6x = 14x -8 + 14x = -2(3w + -4) Reorder the terms: -8 + 14x = -2(-4 + 3w) -8 + 14x = (-4 * -2 + 3w * -2) -8 + 14x = (8 + -6w) Solving -8 + 14x = 8 + -6w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 14x = 8 + 8 + -6w Combine like terms: -8 + 8 = 0 0 + 14x = 8 + 8 + -6w 14x = 8 + 8 + -6w Combine like terms: 8 + 8 = 16 14x = 16 + -6w Divide each side by '14'. x = 1.142857143 + -0.4285714286w Simplifying x = 1.142857143 + -0.4285714286w
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