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Simplifying 7x + -1(3x + -2) = 6(x + -5) Reorder the terms: 7x + -1(-2 + 3x) = 6(x + -5) 7x + (-2 * -1 + 3x * -1) = 6(x + -5) 7x + (2 + -3x) = 6(x + -5) Reorder the terms: 2 + 7x + -3x = 6(x + -5) Combine like terms: 7x + -3x = 4x 2 + 4x = 6(x + -5) Reorder the terms: 2 + 4x = 6(-5 + x) 2 + 4x = (-5 * 6 + x * 6) 2 + 4x = (-30 + 6x) Solving 2 + 4x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 4x + -6x = -30 + 6x + -6x Combine like terms: 4x + -6x = -2x 2 + -2x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -2x = -30 + 0 2 + -2x = -30 Add '-2' to each side of the equation. 2 + -2 + -2x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -30 + -2 -2x = -30 + -2 Combine like terms: -30 + -2 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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