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Simplifying -6 + x = 3(x + -5) + -1 Reorder the terms: -6 + x = 3(-5 + x) + -1 -6 + x = (-5 * 3 + x * 3) + -1 -6 + x = (-15 + 3x) + -1 Reorder the terms: -6 + x = -15 + -1 + 3x Combine like terms: -15 + -1 = -16 -6 + x = -16 + 3x Solving -6 + x = -16 + 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. -6 + x + -3x = -16 + 3x + -3x Combine like terms: x + -3x = -2x -6 + -2x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = -16 + 0 -6 + -2x = -16 Add '6' to each side of the equation. -6 + 6 + -2x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -16 + 6 -2x = -16 + 6 Combine like terms: -16 + 6 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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