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Simplifying 4(5x + -2) + -3 + 4 = 7(1 + 2x) Reorder the terms: 4(-2 + 5x) + -3 + 4 = 7(1 + 2x) (-2 * 4 + 5x * 4) + -3 + 4 = 7(1 + 2x) (-8 + 20x) + -3 + 4 = 7(1 + 2x) Reorder the terms: -8 + -3 + 4 + 20x = 7(1 + 2x) Combine like terms: -8 + -3 = -11 -11 + 4 + 20x = 7(1 + 2x) Combine like terms: -11 + 4 = -7 -7 + 20x = 7(1 + 2x) -7 + 20x = (1 * 7 + 2x * 7) -7 + 20x = (7 + 14x) Solving -7 + 20x = 7 + 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. -7 + 20x + -14x = 7 + 14x + -14x Combine like terms: 20x + -14x = 6x -7 + 6x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -7 + 6x = 7 + 0 -7 + 6x = 7 Add '7' to each side of the equation. -7 + 7 + 6x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 7 + 7 6x = 7 + 7 Combine like terms: 7 + 7 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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