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Simplifying 2(x + -5) + -1(2x + -7) = 12 + -5(3x + 1) Reorder the terms: 2(-5 + x) + -1(2x + -7) = 12 + -5(3x + 1) (-5 * 2 + x * 2) + -1(2x + -7) = 12 + -5(3x + 1) (-10 + 2x) + -1(2x + -7) = 12 + -5(3x + 1) Reorder the terms: -10 + 2x + -1(-7 + 2x) = 12 + -5(3x + 1) -10 + 2x + (-7 * -1 + 2x * -1) = 12 + -5(3x + 1) -10 + 2x + (7 + -2x) = 12 + -5(3x + 1) Reorder the terms: -10 + 7 + 2x + -2x = 12 + -5(3x + 1) Combine like terms: -10 + 7 = -3 -3 + 2x + -2x = 12 + -5(3x + 1) Combine like terms: 2x + -2x = 0 -3 + 0 = 12 + -5(3x + 1) -3 = 12 + -5(3x + 1) Reorder the terms: -3 = 12 + -5(1 + 3x) -3 = 12 + (1 * -5 + 3x * -5) -3 = 12 + (-5 + -15x) Combine like terms: 12 + -5 = 7 -3 = 7 + -15x Solving -3 = 7 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -3 + 15x = 7 + -15x + 15x Combine like terms: -15x + 15x = 0 -3 + 15x = 7 + 0 -3 + 15x = 7 Add '3' to each side of the equation. -3 + 3 + 15x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 15x = 7 + 3 15x = 7 + 3 Combine like terms: 7 + 3 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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