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Simplifying -30x + -6(3 + -6x) = 2(x + -3) + -4 -30x + (3 * -6 + -6x * -6) = 2(x + -3) + -4 -30x + (-18 + 36x) = 2(x + -3) + -4 Reorder the terms: -18 + -30x + 36x = 2(x + -3) + -4 Combine like terms: -30x + 36x = 6x -18 + 6x = 2(x + -3) + -4 Reorder the terms: -18 + 6x = 2(-3 + x) + -4 -18 + 6x = (-3 * 2 + x * 2) + -4 -18 + 6x = (-6 + 2x) + -4 Reorder the terms: -18 + 6x = -6 + -4 + 2x Combine like terms: -6 + -4 = -10 -18 + 6x = -10 + 2x Solving -18 + 6x = -10 + 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. -18 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x -18 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 4x = -10 + 0 -18 + 4x = -10 Add '18' to each side of the equation. -18 + 18 + 4x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -10 + 18 4x = -10 + 18 Combine like terms: -10 + 18 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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