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Simplifying 4(2x + 7) = -2(x + -14) + 2 Reorder the terms: 4(7 + 2x) = -2(x + -14) + 2 (7 * 4 + 2x * 4) = -2(x + -14) + 2 (28 + 8x) = -2(x + -14) + 2 Reorder the terms: 28 + 8x = -2(-14 + x) + 2 28 + 8x = (-14 * -2 + x * -2) + 2 28 + 8x = (28 + -2x) + 2 Reorder the terms: 28 + 8x = 28 + 2 + -2x Combine like terms: 28 + 2 = 30 28 + 8x = 30 + -2x Solving 28 + 8x = 30 + -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. 28 + 8x + 2x = 30 + -2x + 2x Combine like terms: 8x + 2x = 10x 28 + 10x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 10x = 30 + 0 28 + 10x = 30 Add '-28' to each side of the equation. 28 + -28 + 10x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = 30 + -28 10x = 30 + -28 Combine like terms: 30 + -28 = 2 10x = 2 Divide each side by '10'. x = 0.2 Simplifying x = 0.2
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