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Simplifying 6(x + -5) + 4 = 3x + -2 Reorder the terms: 6(-5 + x) + 4 = 3x + -2 (-5 * 6 + x * 6) + 4 = 3x + -2 (-30 + 6x) + 4 = 3x + -2 Reorder the terms: -30 + 4 + 6x = 3x + -2 Combine like terms: -30 + 4 = -26 -26 + 6x = 3x + -2 Reorder the terms: -26 + 6x = -2 + 3x Solving -26 + 6x = -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. -26 + 6x + -3x = -2 + 3x + -3x Combine like terms: 6x + -3x = 3x -26 + 3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + 3x = -2 + 0 -26 + 3x = -2 Add '26' to each side of the equation. -26 + 26 + 3x = -2 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = -2 + 26 3x = -2 + 26 Combine like terms: -2 + 26 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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