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Simplifying 3(2x + 6) + -5(x + 8) = x + -22 Reorder the terms: 3(6 + 2x) + -5(x + 8) = x + -22 (6 * 3 + 2x * 3) + -5(x + 8) = x + -22 (18 + 6x) + -5(x + 8) = x + -22 Reorder the terms: 18 + 6x + -5(8 + x) = x + -22 18 + 6x + (8 * -5 + x * -5) = x + -22 18 + 6x + (-40 + -5x) = x + -22 Reorder the terms: 18 + -40 + 6x + -5x = x + -22 Combine like terms: 18 + -40 = -22 -22 + 6x + -5x = x + -22 Combine like terms: 6x + -5x = 1x -22 + 1x = x + -22 Reorder the terms: -22 + 1x = -22 + x Add '22' to each side of the equation. -22 + 22 + 1x = -22 + 22 + x Combine like terms: -22 + 22 = 0 0 + 1x = -22 + 22 + x 1x = -22 + 22 + x Combine like terms: -22 + 22 = 0 1x = 0 + x 1x = x Solving 1x = 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. 1x + -1x = x + -1x Combine like terms: 1x + -1x = 0 0 = x + -1x Combine like terms: x + -1x = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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