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Simplifying -6(-1x + 5) + 7(3x + 1) = -5(x + -2) Reorder the terms: -6(5 + -1x) + 7(3x + 1) = -5(x + -2) (5 * -6 + -1x * -6) + 7(3x + 1) = -5(x + -2) (-30 + 6x) + 7(3x + 1) = -5(x + -2) Reorder the terms: -30 + 6x + 7(1 + 3x) = -5(x + -2) -30 + 6x + (1 * 7 + 3x * 7) = -5(x + -2) -30 + 6x + (7 + 21x) = -5(x + -2) Reorder the terms: -30 + 7 + 6x + 21x = -5(x + -2) Combine like terms: -30 + 7 = -23 -23 + 6x + 21x = -5(x + -2) Combine like terms: 6x + 21x = 27x -23 + 27x = -5(x + -2) Reorder the terms: -23 + 27x = -5(-2 + x) -23 + 27x = (-2 * -5 + x * -5) -23 + 27x = (10 + -5x) Solving -23 + 27x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -23 + 27x + 5x = 10 + -5x + 5x Combine like terms: 27x + 5x = 32x -23 + 32x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + 32x = 10 + 0 -23 + 32x = 10 Add '23' to each side of the equation. -23 + 23 + 32x = 10 + 23 Combine like terms: -23 + 23 = 0 0 + 32x = 10 + 23 32x = 10 + 23 Combine like terms: 10 + 23 = 33 32x = 33 Divide each side by '32'. x = 1.03125 Simplifying x = 1.03125
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