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Simplifying 4(5x + -2) + 7 = 5(3x + 1) Reorder the terms: 4(-2 + 5x) + 7 = 5(3x + 1) (-2 * 4 + 5x * 4) + 7 = 5(3x + 1) (-8 + 20x) + 7 = 5(3x + 1) Reorder the terms: -8 + 7 + 20x = 5(3x + 1) Combine like terms: -8 + 7 = -1 -1 + 20x = 5(3x + 1) Reorder the terms: -1 + 20x = 5(1 + 3x) -1 + 20x = (1 * 5 + 3x * 5) -1 + 20x = (5 + 15x) Solving -1 + 20x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -1 + 20x + -15x = 5 + 15x + -15x Combine like terms: 20x + -15x = 5x -1 + 5x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -1 + 5x = 5 + 0 -1 + 5x = 5 Add '1' to each side of the equation. -1 + 1 + 5x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 5 + 1 5x = 5 + 1 Combine like terms: 5 + 1 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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