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Simplifying x + (x + 2) + 8 = 3(x + 4) + -11 Reorder the terms: x + (2 + x) + 8 = 3(x + 4) + -11 Remove parenthesis around (2 + x) x + 2 + x + 8 = 3(x + 4) + -11 Reorder the terms: 2 + 8 + x + x = 3(x + 4) + -11 Combine like terms: 2 + 8 = 10 10 + x + x = 3(x + 4) + -11 Combine like terms: x + x = 2x 10 + 2x = 3(x + 4) + -11 Reorder the terms: 10 + 2x = 3(4 + x) + -11 10 + 2x = (4 * 3 + x * 3) + -11 10 + 2x = (12 + 3x) + -11 Reorder the terms: 10 + 2x = 12 + -11 + 3x Combine like terms: 12 + -11 = 1 10 + 2x = 1 + 3x Solving 10 + 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. 10 + 2x + -3x = 1 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 1 + 0 10 + -1x = 1 Add '-10' to each side of the equation. 10 + -10 + -1x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 1 + -10 -1x = 1 + -10 Combine like terms: 1 + -10 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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