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Simplifying 4(x + 7) + 1(x + -28) = 28x + 644 Reorder the terms: 4(7 + x) + 1(x + -28) = 28x + 644 (7 * 4 + x * 4) + 1(x + -28) = 28x + 644 (28 + 4x) + 1(x + -28) = 28x + 644 Reorder the terms: 28 + 4x + 1(-28 + x) = 28x + 644 28 + 4x + (-28 * 1 + x * 1) = 28x + 644 28 + 4x + (-28 + 1x) = 28x + 644 Reorder the terms: 28 + -28 + 4x + 1x = 28x + 644 Combine like terms: 28 + -28 = 0 0 + 4x + 1x = 28x + 644 4x + 1x = 28x + 644 Combine like terms: 4x + 1x = 5x 5x = 28x + 644 Reorder the terms: 5x = 644 + 28x Solving 5x = 644 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 5x + -28x = 644 + 28x + -28x Combine like terms: 5x + -28x = -23x -23x = 644 + 28x + -28x Combine like terms: 28x + -28x = 0 -23x = 644 + 0 -23x = 644 Divide each side by '-23'. x = -28 Simplifying x = -28
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