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Simplifying 2x + -4(5x + 1) = 3(x + 5) + 2 Reorder the terms: 2x + -4(1 + 5x) = 3(x + 5) + 2 2x + (1 * -4 + 5x * -4) = 3(x + 5) + 2 2x + (-4 + -20x) = 3(x + 5) + 2 Reorder the terms: -4 + 2x + -20x = 3(x + 5) + 2 Combine like terms: 2x + -20x = -18x -4 + -18x = 3(x + 5) + 2 Reorder the terms: -4 + -18x = 3(5 + x) + 2 -4 + -18x = (5 * 3 + x * 3) + 2 -4 + -18x = (15 + 3x) + 2 Reorder the terms: -4 + -18x = 15 + 2 + 3x Combine like terms: 15 + 2 = 17 -4 + -18x = 17 + 3x Solving -4 + -18x = 17 + 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. -4 + -18x + -3x = 17 + 3x + -3x Combine like terms: -18x + -3x = -21x -4 + -21x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -21x = 17 + 0 -4 + -21x = 17 Add '4' to each side of the equation. -4 + 4 + -21x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -21x = 17 + 4 -21x = 17 + 4 Combine like terms: 17 + 4 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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