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Simplifying (x + -4) + -1(x + 9) = 7x Reorder the terms: (-4 + x) + -1(x + 9) = 7x Remove parenthesis around (-4 + x) -4 + x + -1(x + 9) = 7x Reorder the terms: -4 + x + -1(9 + x) = 7x -4 + x + (9 * -1 + x * -1) = 7x -4 + x + (-9 + -1x) = 7x Reorder the terms: -4 + -9 + x + -1x = 7x Combine like terms: -4 + -9 = -13 -13 + x + -1x = 7x Combine like terms: x + -1x = 0 -13 + 0 = 7x -13 = 7x Solving -13 = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -7x = 0 Add '13' to each side of the equation. -13 + 13 + -7x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 0 + 13 -7x = 0 + 13 Combine like terms: 0 + 13 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857
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