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Simplifying -4(5 + -2x) + 7 = 14 + -1x (5 * -4 + -2x * -4) + 7 = 14 + -1x (-20 + 8x) + 7 = 14 + -1x Reorder the terms: -20 + 7 + 8x = 14 + -1x Combine like terms: -20 + 7 = -13 -13 + 8x = 14 + -1x Solving -13 + 8x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13 + 8x + x = 14 + -1x + x Combine like terms: 8x + x = 9x -13 + 9x = 14 + -1x + x Combine like terms: -1x + x = 0 -13 + 9x = 14 + 0 -13 + 9x = 14 Add '13' to each side of the equation. -13 + 13 + 9x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 14 + 13 9x = 14 + 13 Combine like terms: 14 + 13 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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