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Simplifying -5(x + 6) + x = 3(1 + -1x) Reorder the terms: -5(6 + x) + x = 3(1 + -1x) (6 * -5 + x * -5) + x = 3(1 + -1x) (-30 + -5x) + x = 3(1 + -1x) Combine like terms: -5x + x = -4x -30 + -4x = 3(1 + -1x) -30 + -4x = (1 * 3 + -1x * 3) -30 + -4x = (3 + -3x) Solving -30 + -4x = 3 + -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. -30 + -4x + 3x = 3 + -3x + 3x Combine like terms: -4x + 3x = -1x -30 + -1x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -1x = 3 + 0 -30 + -1x = 3 Add '30' to each side of the equation. -30 + 30 + -1x = 3 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 3 + 30 -1x = 3 + 30 Combine like terms: 3 + 30 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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