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Simplifying 3(x + 1) + -5x = 12 + -1(9x + -7) Reorder the terms: 3(1 + x) + -5x = 12 + -1(9x + -7) (1 * 3 + x * 3) + -5x = 12 + -1(9x + -7) (3 + 3x) + -5x = 12 + -1(9x + -7) Combine like terms: 3x + -5x = -2x 3 + -2x = 12 + -1(9x + -7) Reorder the terms: 3 + -2x = 12 + -1(-7 + 9x) 3 + -2x = 12 + (-7 * -1 + 9x * -1) 3 + -2x = 12 + (7 + -9x) Combine like terms: 12 + 7 = 19 3 + -2x = 19 + -9x Solving 3 + -2x = 19 + -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. 3 + -2x + 9x = 19 + -9x + 9x Combine like terms: -2x + 9x = 7x 3 + 7x = 19 + -9x + 9x Combine like terms: -9x + 9x = 0 3 + 7x = 19 + 0 3 + 7x = 19 Add '-3' to each side of the equation. 3 + -3 + 7x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 19 + -3 7x = 19 + -3 Combine like terms: 19 + -3 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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