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Simplifying 30 + -6x = 3(4x + -8) Reorder the terms: 30 + -6x = 3(-8 + 4x) 30 + -6x = (-8 * 3 + 4x * 3) 30 + -6x = (-24 + 12x) Solving 30 + -6x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + -6x + -12x = -24 + 12x + -12x Combine like terms: -6x + -12x = -18x 30 + -18x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -18x = -24 + 0 30 + -18x = -24 Add '-30' to each side of the equation. 30 + -30 + -18x = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -18x = -24 + -30 -18x = -24 + -30 Combine like terms: -24 + -30 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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