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Simplifying 2(x + 5) + -4 = 3(x + 11) + 2 Reorder the terms: 2(5 + x) + -4 = 3(x + 11) + 2 (5 * 2 + x * 2) + -4 = 3(x + 11) + 2 (10 + 2x) + -4 = 3(x + 11) + 2 Reorder the terms: 10 + -4 + 2x = 3(x + 11) + 2 Combine like terms: 10 + -4 = 6 6 + 2x = 3(x + 11) + 2 Reorder the terms: 6 + 2x = 3(11 + x) + 2 6 + 2x = (11 * 3 + x * 3) + 2 6 + 2x = (33 + 3x) + 2 Reorder the terms: 6 + 2x = 33 + 2 + 3x Combine like terms: 33 + 2 = 35 6 + 2x = 35 + 3x Solving 6 + 2x = 35 + 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. 6 + 2x + -3x = 35 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = 35 + 0 6 + -1x = 35 Add '-6' to each side of the equation. 6 + -6 + -1x = 35 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 35 + -6 -1x = 35 + -6 Combine like terms: 35 + -6 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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