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Simplifying 2(x + 5) + -1x + -2 = 4x + 6 Reorder the terms: 2(5 + x) + -1x + -2 = 4x + 6 (5 * 2 + x * 2) + -1x + -2 = 4x + 6 (10 + 2x) + -1x + -2 = 4x + 6 Reorder the terms: 10 + -2 + 2x + -1x = 4x + 6 Combine like terms: 10 + -2 = 8 8 + 2x + -1x = 4x + 6 Combine like terms: 2x + -1x = 1x 8 + 1x = 4x + 6 Reorder the terms: 8 + 1x = 6 + 4x Solving 8 + 1x = 6 + 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. 8 + 1x + -4x = 6 + 4x + -4x Combine like terms: 1x + -4x = -3x 8 + -3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -3x = 6 + 0 8 + -3x = 6 Add '-8' to each side of the equation. 8 + -8 + -3x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 6 + -8 -3x = 6 + -8 Combine like terms: 6 + -8 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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