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Simplifying 8x + 12 + -2x = 22 + -1(2x + -2) Reorder the terms: 12 + 8x + -2x = 22 + -1(2x + -2) Combine like terms: 8x + -2x = 6x 12 + 6x = 22 + -1(2x + -2) Reorder the terms: 12 + 6x = 22 + -1(-2 + 2x) 12 + 6x = 22 + (-2 * -1 + 2x * -1) 12 + 6x = 22 + (2 + -2x) Combine like terms: 22 + 2 = 24 12 + 6x = 24 + -2x Solving 12 + 6x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 6x + 2x = 24 + -2x + 2x Combine like terms: 6x + 2x = 8x 12 + 8x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 8x = 24 + 0 12 + 8x = 24 Add '-12' to each side of the equation. 12 + -12 + 8x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 24 + -12 8x = 24 + -12 Combine like terms: 24 + -12 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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