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Simplifying 4x + -1(x + 1) = -4 + 6(x + -6) Reorder the terms: 4x + -1(1 + x) = -4 + 6(x + -6) 4x + (1 * -1 + x * -1) = -4 + 6(x + -6) 4x + (-1 + -1x) = -4 + 6(x + -6) Reorder the terms: -1 + 4x + -1x = -4 + 6(x + -6) Combine like terms: 4x + -1x = 3x -1 + 3x = -4 + 6(x + -6) Reorder the terms: -1 + 3x = -4 + 6(-6 + x) -1 + 3x = -4 + (-6 * 6 + x * 6) -1 + 3x = -4 + (-36 + 6x) Combine like terms: -4 + -36 = -40 -1 + 3x = -40 + 6x Solving -1 + 3x = -40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 3x + -6x = -40 + 6x + -6x Combine like terms: 3x + -6x = -3x -1 + -3x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -3x = -40 + 0 -1 + -3x = -40 Add '1' to each side of the equation. -1 + 1 + -3x = -40 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -40 + 1 -3x = -40 + 1 Combine like terms: -40 + 1 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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