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Simplifying 6(x + -5) = 4x + -6 + 12 + -2x Reorder the terms: 6(-5 + x) = 4x + -6 + 12 + -2x (-5 * 6 + x * 6) = 4x + -6 + 12 + -2x (-30 + 6x) = 4x + -6 + 12 + -2x Reorder the terms: -30 + 6x = -6 + 12 + 4x + -2x Combine like terms: -6 + 12 = 6 -30 + 6x = 6 + 4x + -2x Combine like terms: 4x + -2x = 2x -30 + 6x = 6 + 2x Solving -30 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -30 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 4x = 6 + 0 -30 + 4x = 6 Add '30' to each side of the equation. -30 + 30 + 4x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 6 + 30 4x = 6 + 30 Combine like terms: 6 + 30 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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