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Simplifying 4(5x + -1) + -3(5x + 2) = 3x + 1 Reorder the terms: 4(-1 + 5x) + -3(5x + 2) = 3x + 1 (-1 * 4 + 5x * 4) + -3(5x + 2) = 3x + 1 (-4 + 20x) + -3(5x + 2) = 3x + 1 Reorder the terms: -4 + 20x + -3(2 + 5x) = 3x + 1 -4 + 20x + (2 * -3 + 5x * -3) = 3x + 1 -4 + 20x + (-6 + -15x) = 3x + 1 Reorder the terms: -4 + -6 + 20x + -15x = 3x + 1 Combine like terms: -4 + -6 = -10 -10 + 20x + -15x = 3x + 1 Combine like terms: 20x + -15x = 5x -10 + 5x = 3x + 1 Reorder the terms: -10 + 5x = 1 + 3x Solving -10 + 5x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = 1 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 1 + 0 -10 + 2x = 1 Add '10' to each side of the equation. -10 + 10 + 2x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 1 + 10 2x = 1 + 10 Combine like terms: 1 + 10 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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