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Simplifying 4(5x + -2) + 6 = 7x + -3 Reorder the terms: 4(-2 + 5x) + 6 = 7x + -3 (-2 * 4 + 5x * 4) + 6 = 7x + -3 (-8 + 20x) + 6 = 7x + -3 Reorder the terms: -8 + 6 + 20x = 7x + -3 Combine like terms: -8 + 6 = -2 -2 + 20x = 7x + -3 Reorder the terms: -2 + 20x = -3 + 7x Solving -2 + 20x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 20x + -7x = -3 + 7x + -7x Combine like terms: 20x + -7x = 13x -2 + 13x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 13x = -3 + 0 -2 + 13x = -3 Add '2' to each side of the equation. -2 + 2 + 13x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = -3 + 2 13x = -3 + 2 Combine like terms: -3 + 2 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692
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