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Simplifying 4(7x + -21) = 14(7x + -21) Reorder the terms: 4(-21 + 7x) = 14(7x + -21) (-21 * 4 + 7x * 4) = 14(7x + -21) (-84 + 28x) = 14(7x + -21) Reorder the terms: -84 + 28x = 14(-21 + 7x) -84 + 28x = (-21 * 14 + 7x * 14) -84 + 28x = (-294 + 98x) Solving -84 + 28x = -294 + 98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98x' to each side of the equation. -84 + 28x + -98x = -294 + 98x + -98x Combine like terms: 28x + -98x = -70x -84 + -70x = -294 + 98x + -98x Combine like terms: 98x + -98x = 0 -84 + -70x = -294 + 0 -84 + -70x = -294 Add '84' to each side of the equation. -84 + 84 + -70x = -294 + 84 Combine like terms: -84 + 84 = 0 0 + -70x = -294 + 84 -70x = -294 + 84 Combine like terms: -294 + 84 = -210 -70x = -210 Divide each side by '-70'. x = 3 Simplifying x = 3
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