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Simplifying 2(x + -5) + -3(2x + -7) = 12 + -5(3x + 1) Reorder the terms: 2(-5 + x) + -3(2x + -7) = 12 + -5(3x + 1) (-5 * 2 + x * 2) + -3(2x + -7) = 12 + -5(3x + 1) (-10 + 2x) + -3(2x + -7) = 12 + -5(3x + 1) Reorder the terms: -10 + 2x + -3(-7 + 2x) = 12 + -5(3x + 1) -10 + 2x + (-7 * -3 + 2x * -3) = 12 + -5(3x + 1) -10 + 2x + (21 + -6x) = 12 + -5(3x + 1) Reorder the terms: -10 + 21 + 2x + -6x = 12 + -5(3x + 1) Combine like terms: -10 + 21 = 11 11 + 2x + -6x = 12 + -5(3x + 1) Combine like terms: 2x + -6x = -4x 11 + -4x = 12 + -5(3x + 1) Reorder the terms: 11 + -4x = 12 + -5(1 + 3x) 11 + -4x = 12 + (1 * -5 + 3x * -5) 11 + -4x = 12 + (-5 + -15x) Combine like terms: 12 + -5 = 7 11 + -4x = 7 + -15x Solving 11 + -4x = 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. 11 + -4x + 15x = 7 + -15x + 15x Combine like terms: -4x + 15x = 11x 11 + 11x = 7 + -15x + 15x Combine like terms: -15x + 15x = 0 11 + 11x = 7 + 0 11 + 11x = 7 Add '-11' to each side of the equation. 11 + -11 + 11x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = 7 + -11 11x = 7 + -11 Combine like terms: 7 + -11 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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