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Simplifying 5(x + 1) + -6(x + -3) + 2(2x + 1) = 28 Reorder the terms: 5(1 + x) + -6(x + -3) + 2(2x + 1) = 28 (1 * 5 + x * 5) + -6(x + -3) + 2(2x + 1) = 28 (5 + 5x) + -6(x + -3) + 2(2x + 1) = 28 Reorder the terms: 5 + 5x + -6(-3 + x) + 2(2x + 1) = 28 5 + 5x + (-3 * -6 + x * -6) + 2(2x + 1) = 28 5 + 5x + (18 + -6x) + 2(2x + 1) = 28 Reorder the terms: 5 + 5x + 18 + -6x + 2(1 + 2x) = 28 5 + 5x + 18 + -6x + (1 * 2 + 2x * 2) = 28 5 + 5x + 18 + -6x + (2 + 4x) = 28 Reorder the terms: 5 + 18 + 2 + 5x + -6x + 4x = 28 Combine like terms: 5 + 18 = 23 23 + 2 + 5x + -6x + 4x = 28 Combine like terms: 23 + 2 = 25 25 + 5x + -6x + 4x = 28 Combine like terms: 5x + -6x = -1x 25 + -1x + 4x = 28 Combine like terms: -1x + 4x = 3x 25 + 3x = 28 Solving 25 + 3x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3x = 28 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 28 + -25 3x = 28 + -25 Combine like terms: 28 + -25 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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