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Simplifying -6 + -1x + 18 = 7 + -1(4x + 9) Reorder the terms: -6 + 18 + -1x = 7 + -1(4x + 9) Combine like terms: -6 + 18 = 12 12 + -1x = 7 + -1(4x + 9) Reorder the terms: 12 + -1x = 7 + -1(9 + 4x) 12 + -1x = 7 + (9 * -1 + 4x * -1) 12 + -1x = 7 + (-9 + -4x) Combine like terms: 7 + -9 = -2 12 + -1x = -2 + -4x Solving 12 + -1x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + -1x + 4x = -2 + -4x + 4x Combine like terms: -1x + 4x = 3x 12 + 3x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 3x = -2 + 0 12 + 3x = -2 Add '-12' to each side of the equation. 12 + -12 + 3x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -2 + -12 3x = -2 + -12 Combine like terms: -2 + -12 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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