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Simplifying 6(x + -2) = 5(x + 2) + 2x Reorder the terms: 6(-2 + x) = 5(x + 2) + 2x (-2 * 6 + x * 6) = 5(x + 2) + 2x (-12 + 6x) = 5(x + 2) + 2x Reorder the terms: -12 + 6x = 5(2 + x) + 2x -12 + 6x = (2 * 5 + x * 5) + 2x -12 + 6x = (10 + 5x) + 2x Combine like terms: 5x + 2x = 7x -12 + 6x = 10 + 7x Solving -12 + 6x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 6x + -7x = 10 + 7x + -7x Combine like terms: 6x + -7x = -1x -12 + -1x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -1x = 10 + 0 -12 + -1x = 10 Add '12' to each side of the equation. -12 + 12 + -1x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 10 + 12 -1x = 10 + 12 Combine like terms: 10 + 12 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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