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Simplifying 7(x + 2) + 2(-3 + 2x) = x + 6 Reorder the terms: 7(2 + x) + 2(-3 + 2x) = x + 6 (2 * 7 + x * 7) + 2(-3 + 2x) = x + 6 (14 + 7x) + 2(-3 + 2x) = x + 6 14 + 7x + (-3 * 2 + 2x * 2) = x + 6 14 + 7x + (-6 + 4x) = x + 6 Reorder the terms: 14 + -6 + 7x + 4x = x + 6 Combine like terms: 14 + -6 = 8 8 + 7x + 4x = x + 6 Combine like terms: 7x + 4x = 11x 8 + 11x = x + 6 Reorder the terms: 8 + 11x = 6 + x Solving 8 + 11x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 11x + -1x = 6 + x + -1x Combine like terms: 11x + -1x = 10x 8 + 10x = 6 + x + -1x Combine like terms: x + -1x = 0 8 + 10x = 6 + 0 8 + 10x = 6 Add '-8' to each side of the equation. 8 + -8 + 10x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 6 + -8 10x = 6 + -8 Combine like terms: 6 + -8 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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