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Simplifying 3(x + 6) + -1(2x + -5) + 6x = 28 Reorder the terms: 3(6 + x) + -1(2x + -5) + 6x = 28 (6 * 3 + x * 3) + -1(2x + -5) + 6x = 28 (18 + 3x) + -1(2x + -5) + 6x = 28 Reorder the terms: 18 + 3x + -1(-5 + 2x) + 6x = 28 18 + 3x + (-5 * -1 + 2x * -1) + 6x = 28 18 + 3x + (5 + -2x) + 6x = 28 Reorder the terms: 18 + 5 + 3x + -2x + 6x = 28 Combine like terms: 18 + 5 = 23 23 + 3x + -2x + 6x = 28 Combine like terms: 3x + -2x = 1x 23 + 1x + 6x = 28 Combine like terms: 1x + 6x = 7x 23 + 7x = 28 Solving 23 + 7x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7x = 28 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 28 + -23 7x = 28 + -23 Combine like terms: 28 + -23 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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