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Simplifying 6x + 2(2 + x) = 7x + -1(2x + -4) + 5 6x + (2 * 2 + x * 2) = 7x + -1(2x + -4) + 5 6x + (4 + 2x) = 7x + -1(2x + -4) + 5 Reorder the terms: 4 + 6x + 2x = 7x + -1(2x + -4) + 5 Combine like terms: 6x + 2x = 8x 4 + 8x = 7x + -1(2x + -4) + 5 Reorder the terms: 4 + 8x = 7x + -1(-4 + 2x) + 5 4 + 8x = 7x + (-4 * -1 + 2x * -1) + 5 4 + 8x = 7x + (4 + -2x) + 5 Reorder the terms: 4 + 8x = 4 + 5 + 7x + -2x Combine like terms: 4 + 5 = 9 4 + 8x = 9 + 7x + -2x Combine like terms: 7x + -2x = 5x 4 + 8x = 9 + 5x Solving 4 + 8x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 8x + -5x = 9 + 5x + -5x Combine like terms: 8x + -5x = 3x 4 + 3x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 3x = 9 + 0 4 + 3x = 9 Add '-4' to each side of the equation. 4 + -4 + 3x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 9 + -4 3x = 9 + -4 Combine like terms: 9 + -4 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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