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Simplifying -9(x + 3) + -1(1 + 4x) = -14x Reorder the terms: -9(3 + x) + -1(1 + 4x) = -14x (3 * -9 + x * -9) + -1(1 + 4x) = -14x (-27 + -9x) + -1(1 + 4x) = -14x -27 + -9x + (1 * -1 + 4x * -1) = -14x -27 + -9x + (-1 + -4x) = -14x Reorder the terms: -27 + -1 + -9x + -4x = -14x Combine like terms: -27 + -1 = -28 -28 + -9x + -4x = -14x Combine like terms: -9x + -4x = -13x -28 + -13x = -14x Solving -28 + -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. -28 + -13x + 14x = -14x + 14x Combine like terms: -13x + 14x = 1x -28 + 1x = -14x + 14x Combine like terms: -14x + 14x = 0 -28 + 1x = 0 Add '28' to each side of the equation. -28 + 28 + 1x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 0 + 28 1x = 0 + 28 Combine like terms: 0 + 28 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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