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Simplifying 4(2x + 1) + -2(x + -3) = 28 Reorder the terms: 4(1 + 2x) + -2(x + -3) = 28 (1 * 4 + 2x * 4) + -2(x + -3) = 28 (4 + 8x) + -2(x + -3) = 28 Reorder the terms: 4 + 8x + -2(-3 + x) = 28 4 + 8x + (-3 * -2 + x * -2) = 28 4 + 8x + (6 + -2x) = 28 Reorder the terms: 4 + 6 + 8x + -2x = 28 Combine like terms: 4 + 6 = 10 10 + 8x + -2x = 28 Combine like terms: 8x + -2x = 6x 10 + 6x = 28 Solving 10 + 6x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 28 + -10 6x = 28 + -10 Combine like terms: 28 + -10 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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