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Simplifying 4(2x + 7) = 14 + -2(x + -7) Reorder the terms: 4(7 + 2x) = 14 + -2(x + -7) (7 * 4 + 2x * 4) = 14 + -2(x + -7) (28 + 8x) = 14 + -2(x + -7) Reorder the terms: 28 + 8x = 14 + -2(-7 + x) 28 + 8x = 14 + (-7 * -2 + x * -2) 28 + 8x = 14 + (14 + -2x) Combine like terms: 14 + 14 = 28 28 + 8x = 28 + -2x Add '-28' to each side of the equation. 28 + -28 + 8x = 28 + -28 + -2x Combine like terms: 28 + -28 = 0 0 + 8x = 28 + -28 + -2x 8x = 28 + -28 + -2x Combine like terms: 28 + -28 = 0 8x = 0 + -2x 8x = -2x Solving 8x = -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. 8x + 2x = -2x + 2x Combine like terms: 8x + 2x = 10x 10x = -2x + 2x Combine like terms: -2x + 2x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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