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Simplifying 1 + -1(3x + 14) = 35 + -9x Reorder the terms: 1 + -1(14 + 3x) = 35 + -9x 1 + (14 * -1 + 3x * -1) = 35 + -9x 1 + (-14 + -3x) = 35 + -9x Combine like terms: 1 + -14 = -13 -13 + -3x = 35 + -9x Solving -13 + -3x = 35 + -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. -13 + -3x + 9x = 35 + -9x + 9x Combine like terms: -3x + 9x = 6x -13 + 6x = 35 + -9x + 9x Combine like terms: -9x + 9x = 0 -13 + 6x = 35 + 0 -13 + 6x = 35 Add '13' to each side of the equation. -13 + 13 + 6x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 35 + 13 6x = 35 + 13 Combine like terms: 35 + 13 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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