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Simplifying 10 + 2(x + 1) + 7 = 3x + 1 Reorder the terms: 10 + 2(1 + x) + 7 = 3x + 1 10 + (1 * 2 + x * 2) + 7 = 3x + 1 10 + (2 + 2x) + 7 = 3x + 1 Reorder the terms: 10 + 2 + 7 + 2x = 3x + 1 Combine like terms: 10 + 2 = 12 12 + 7 + 2x = 3x + 1 Combine like terms: 12 + 7 = 19 19 + 2x = 3x + 1 Reorder the terms: 19 + 2x = 1 + 3x Solving 19 + 2x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + 2x + -3x = 1 + 3x + -3x Combine like terms: 2x + -3x = -1x 19 + -1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -1x = 1 + 0 19 + -1x = 1 Add '-19' to each side of the equation. 19 + -19 + -1x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 1 + -19 -1x = 1 + -19 Combine like terms: 1 + -19 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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