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