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Simplifying 4(5x + -2) = 7(2x + -3) Reorder the terms: 4(-2 + 5x) = 7(2x + -3) (-2 * 4 + 5x * 4) = 7(2x + -3) (-8 + 20x) = 7(2x + -3) Reorder the terms: -8 + 20x = 7(-3 + 2x) -8 + 20x = (-3 * 7 + 2x * 7) -8 + 20x = (-21 + 14x) Solving -8 + 20x = -21 + 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. -8 + 20x + -14x = -21 + 14x + -14x Combine like terms: 20x + -14x = 6x -8 + 6x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + 6x = -21 + 0 -8 + 6x = -21 Add '8' to each side of the equation. -8 + 8 + 6x = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -21 + 8 6x = -21 + 8 Combine like terms: -21 + 8 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667
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