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Simplifying 4x + -1(6x + 1) = x + 20 Reorder the terms: 4x + -1(1 + 6x) = x + 20 4x + (1 * -1 + 6x * -1) = x + 20 4x + (-1 + -6x) = x + 20 Reorder the terms: -1 + 4x + -6x = x + 20 Combine like terms: 4x + -6x = -2x -1 + -2x = x + 20 Reorder the terms: -1 + -2x = 20 + x Solving -1 + -2x = 20 + 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. -1 + -2x + -1x = 20 + x + -1x Combine like terms: -2x + -1x = -3x -1 + -3x = 20 + x + -1x Combine like terms: x + -1x = 0 -1 + -3x = 20 + 0 -1 + -3x = 20 Add '1' to each side of the equation. -1 + 1 + -3x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 20 + 1 -3x = 20 + 1 Combine like terms: 20 + 1 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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