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Simplifying 2 + -4(x + -3) = -9(10 + -1x) Reorder the terms: 2 + -4(-3 + x) = -9(10 + -1x) 2 + (-3 * -4 + x * -4) = -9(10 + -1x) 2 + (12 + -4x) = -9(10 + -1x) Combine like terms: 2 + 12 = 14 14 + -4x = -9(10 + -1x) 14 + -4x = (10 * -9 + -1x * -9) 14 + -4x = (-90 + 9x) Solving 14 + -4x = -90 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -4x + -9x = -90 + 9x + -9x Combine like terms: -4x + -9x = -13x 14 + -13x = -90 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -13x = -90 + 0 14 + -13x = -90 Add '-14' to each side of the equation. 14 + -14 + -13x = -90 + -14 Combine like terms: 14 + -14 = 0 0 + -13x = -90 + -14 -13x = -90 + -14 Combine like terms: -90 + -14 = -104 -13x = -104 Divide each side by '-13'. x = 8 Simplifying x = 8
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