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Simplifying 3(x + -7) + -1(-9x + -3) = 11x Reorder the terms: 3(-7 + x) + -1(-9x + -3) = 11x (-7 * 3 + x * 3) + -1(-9x + -3) = 11x (-21 + 3x) + -1(-9x + -3) = 11x Reorder the terms: -21 + 3x + -1(-3 + -9x) = 11x -21 + 3x + (-3 * -1 + -9x * -1) = 11x -21 + 3x + (3 + 9x) = 11x Reorder the terms: -21 + 3 + 3x + 9x = 11x Combine like terms: -21 + 3 = -18 -18 + 3x + 9x = 11x Combine like terms: 3x + 9x = 12x -18 + 12x = 11x Solving -18 + 12x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -18 + 12x + -11x = 11x + -11x Combine like terms: 12x + -11x = 1x -18 + 1x = 11x + -11x Combine like terms: 11x + -11x = 0 -18 + 1x = 0 Add '18' to each side of the equation. -18 + 18 + 1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 0 + 18 1x = 0 + 18 Combine like terms: 0 + 18 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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