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