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Simplifying 1 + 3(x + -5) = 7 + -9(x + -1) Reorder the terms: 1 + 3(-5 + x) = 7 + -9(x + -1) 1 + (-5 * 3 + x * 3) = 7 + -9(x + -1) 1 + (-15 + 3x) = 7 + -9(x + -1) Combine like terms: 1 + -15 = -14 -14 + 3x = 7 + -9(x + -1) Reorder the terms: -14 + 3x = 7 + -9(-1 + x) -14 + 3x = 7 + (-1 * -9 + x * -9) -14 + 3x = 7 + (9 + -9x) Combine like terms: 7 + 9 = 16 -14 + 3x = 16 + -9x Solving -14 + 3x = 16 + -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 + 3x + 9x = 16 + -9x + 9x Combine like terms: 3x + 9x = 12x -14 + 12x = 16 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 12x = 16 + 0 -14 + 12x = 16 Add '14' to each side of the equation. -14 + 14 + 12x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 16 + 14 12x = 16 + 14 Combine like terms: 16 + 14 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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