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Simplifying 2(6x + -3) + -1(9x + -7) = 6 + -1(3x + 2) Reorder the terms: 2(-3 + 6x) + -1(9x + -7) = 6 + -1(3x + 2) (-3 * 2 + 6x * 2) + -1(9x + -7) = 6 + -1(3x + 2) (-6 + 12x) + -1(9x + -7) = 6 + -1(3x + 2) Reorder the terms: -6 + 12x + -1(-7 + 9x) = 6 + -1(3x + 2) -6 + 12x + (-7 * -1 + 9x * -1) = 6 + -1(3x + 2) -6 + 12x + (7 + -9x) = 6 + -1(3x + 2) Reorder the terms: -6 + 7 + 12x + -9x = 6 + -1(3x + 2) Combine like terms: -6 + 7 = 1 1 + 12x + -9x = 6 + -1(3x + 2) Combine like terms: 12x + -9x = 3x 1 + 3x = 6 + -1(3x + 2) Reorder the terms: 1 + 3x = 6 + -1(2 + 3x) 1 + 3x = 6 + (2 * -1 + 3x * -1) 1 + 3x = 6 + (-2 + -3x) Combine like terms: 6 + -2 = 4 1 + 3x = 4 + -3x Solving 1 + 3x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 3x + 3x = 4 + -3x + 3x Combine like terms: 3x + 3x = 6x 1 + 6x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 6x = 4 + 0 1 + 6x = 4 Add '-1' to each side of the equation. 1 + -1 + 6x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 4 + -1 6x = 4 + -1 Combine like terms: 4 + -1 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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