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Simplifying 4(4x + -28) = 2(x + 14) Reorder the terms: 4(-28 + 4x) = 2(x + 14) (-28 * 4 + 4x * 4) = 2(x + 14) (-112 + 16x) = 2(x + 14) Reorder the terms: -112 + 16x = 2(14 + x) -112 + 16x = (14 * 2 + x * 2) -112 + 16x = (28 + 2x) Solving -112 + 16x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -112 + 16x + -2x = 28 + 2x + -2x Combine like terms: 16x + -2x = 14x -112 + 14x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -112 + 14x = 28 + 0 -112 + 14x = 28 Add '112' to each side of the equation. -112 + 112 + 14x = 28 + 112 Combine like terms: -112 + 112 = 0 0 + 14x = 28 + 112 14x = 28 + 112 Combine like terms: 28 + 112 = 140 14x = 140 Divide each side by '14'. x = 10 Simplifying x = 10
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