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Simplifying 2(x + 3) = 5x + 1 + x + 6 Reorder the terms: 2(3 + x) = 5x + 1 + x + 6 (3 * 2 + x * 2) = 5x + 1 + x + 6 (6 + 2x) = 5x + 1 + x + 6 Reorder the terms: 6 + 2x = 1 + 6 + 5x + x Combine like terms: 1 + 6 = 7 6 + 2x = 7 + 5x + x Combine like terms: 5x + x = 6x 6 + 2x = 7 + 6x Solving 6 + 2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 2x + -6x = 7 + 6x + -6x Combine like terms: 2x + -6x = -4x 6 + -4x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -4x = 7 + 0 6 + -4x = 7 Add '-6' to each side of the equation. 6 + -6 + -4x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 7 + -6 -4x = 7 + -6 Combine like terms: 7 + -6 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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