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Simplifying 7x + -4(2x + -14) = 8x + 7 Reorder the terms: 7x + -4(-14 + 2x) = 8x + 7 7x + (-14 * -4 + 2x * -4) = 8x + 7 7x + (56 + -8x) = 8x + 7 Reorder the terms: 56 + 7x + -8x = 8x + 7 Combine like terms: 7x + -8x = -1x 56 + -1x = 8x + 7 Reorder the terms: 56 + -1x = 7 + 8x Solving 56 + -1x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 56 + -1x + -8x = 7 + 8x + -8x Combine like terms: -1x + -8x = -9x 56 + -9x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 56 + -9x = 7 + 0 56 + -9x = 7 Add '-56' to each side of the equation. 56 + -56 + -9x = 7 + -56 Combine like terms: 56 + -56 = 0 0 + -9x = 7 + -56 -9x = 7 + -56 Combine like terms: 7 + -56 = -49 -9x = -49 Divide each side by '-9'. x = 5.444444444 Simplifying x = 5.444444444
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