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Simplifying -33 + -1x = 2x + -6(x + 8) Reorder the terms: -33 + -1x = 2x + -6(8 + x) -33 + -1x = 2x + (8 * -6 + x * -6) -33 + -1x = 2x + (-48 + -6x) Reorder the terms: -33 + -1x = -48 + 2x + -6x Combine like terms: 2x + -6x = -4x -33 + -1x = -48 + -4x Solving -33 + -1x = -48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -33 + -1x + 4x = -48 + -4x + 4x Combine like terms: -1x + 4x = 3x -33 + 3x = -48 + -4x + 4x Combine like terms: -4x + 4x = 0 -33 + 3x = -48 + 0 -33 + 3x = -48 Add '33' to each side of the equation. -33 + 33 + 3x = -48 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = -48 + 33 3x = -48 + 33 Combine like terms: -48 + 33 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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