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Simplifying 3(x + 21) + 4(x + 28) = 28 Reorder the terms: 3(21 + x) + 4(x + 28) = 28 (21 * 3 + x * 3) + 4(x + 28) = 28 (63 + 3x) + 4(x + 28) = 28 Reorder the terms: 63 + 3x + 4(28 + x) = 28 63 + 3x + (28 * 4 + x * 4) = 28 63 + 3x + (112 + 4x) = 28 Reorder the terms: 63 + 112 + 3x + 4x = 28 Combine like terms: 63 + 112 = 175 175 + 3x + 4x = 28 Combine like terms: 3x + 4x = 7x 175 + 7x = 28 Solving 175 + 7x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-175' to each side of the equation. 175 + -175 + 7x = 28 + -175 Combine like terms: 175 + -175 = 0 0 + 7x = 28 + -175 7x = 28 + -175 Combine like terms: 28 + -175 = -147 7x = -147 Divide each side by '7'. x = -21 Simplifying x = -21
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