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Simplifying 5x + -2(x + 6) + 2 = 10 + -1x Reorder the terms: 5x + -2(6 + x) + 2 = 10 + -1x 5x + (6 * -2 + x * -2) + 2 = 10 + -1x 5x + (-12 + -2x) + 2 = 10 + -1x Reorder the terms: -12 + 2 + 5x + -2x = 10 + -1x Combine like terms: -12 + 2 = -10 -10 + 5x + -2x = 10 + -1x Combine like terms: 5x + -2x = 3x -10 + 3x = 10 + -1x Solving -10 + 3x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 3x + x = 10 + -1x + x Combine like terms: 3x + x = 4x -10 + 4x = 10 + -1x + x Combine like terms: -1x + x = 0 -10 + 4x = 10 + 0 -10 + 4x = 10 Add '10' to each side of the equation. -10 + 10 + 4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 10 + 10 4x = 10 + 10 Combine like terms: 10 + 10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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