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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 = 6x 28 + 6x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 6x = -30 + 0 28 + 6x = -30 Add '-28' to each side of the equation. 28 + -28 + 6x = -30 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = -30 + -28 6x = -30 + -28 Combine like terms: -30 + -28 = -58 6x = -58 Divide each side by '6'. x = -9.666666667 Simplifying x = -9.666666667
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