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Simplifying 14(x + -4) = 7x + -21 Reorder the terms: 14(-4 + x) = 7x + -21 (-4 * 14 + x * 14) = 7x + -21 (-56 + 14x) = 7x + -21 Reorder the terms: -56 + 14x = -21 + 7x Solving -56 + 14x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -56 + 14x + -7x = -21 + 7x + -7x Combine like terms: 14x + -7x = 7x -56 + 7x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -56 + 7x = -21 + 0 -56 + 7x = -21 Add '56' to each side of the equation. -56 + 56 + 7x = -21 + 56 Combine like terms: -56 + 56 = 0 0 + 7x = -21 + 56 7x = -21 + 56 Combine like terms: -21 + 56 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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