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Simplifying 5(4x + -1) + -1(2x + 2) = x + 5 Reorder the terms: 5(-1 + 4x) + -1(2x + 2) = x + 5 (-1 * 5 + 4x * 5) + -1(2x + 2) = x + 5 (-5 + 20x) + -1(2x + 2) = x + 5 Reorder the terms: -5 + 20x + -1(2 + 2x) = x + 5 -5 + 20x + (2 * -1 + 2x * -1) = x + 5 -5 + 20x + (-2 + -2x) = x + 5 Reorder the terms: -5 + -2 + 20x + -2x = x + 5 Combine like terms: -5 + -2 = -7 -7 + 20x + -2x = x + 5 Combine like terms: 20x + -2x = 18x -7 + 18x = x + 5 Reorder the terms: -7 + 18x = 5 + x Solving -7 + 18x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 18x + -1x = 5 + x + -1x Combine like terms: 18x + -1x = 17x -7 + 17x = 5 + x + -1x Combine like terms: x + -1x = 0 -7 + 17x = 5 + 0 -7 + 17x = 5 Add '7' to each side of the equation. -7 + 7 + 17x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 17x = 5 + 7 17x = 5 + 7 Combine like terms: 5 + 7 = 12 17x = 12 Divide each side by '17'. x = 0.7058823529 Simplifying x = 0.7058823529
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