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Simplifying x + 6(x + -5) = 3x + -2 Reorder the terms: x + 6(-5 + x) = 3x + -2 x + (-5 * 6 + x * 6) = 3x + -2 x + (-30 + 6x) = 3x + -2 Reorder the terms: -30 + x + 6x = 3x + -2 Combine like terms: x + 6x = 7x -30 + 7x = 3x + -2 Reorder the terms: -30 + 7x = -2 + 3x Solving -30 + 7x = -2 + 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. -30 + 7x + -3x = -2 + 3x + -3x Combine like terms: 7x + -3x = 4x -30 + 4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 4x = -2 + 0 -30 + 4x = -2 Add '30' to each side of the equation. -30 + 30 + 4x = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = -2 + 30 4x = -2 + 30 Combine like terms: -2 + 30 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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