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Simplifying 3x + 30 = 6(-4x + -4) Reorder the terms: 30 + 3x = 6(-4x + -4) Reorder the terms: 30 + 3x = 6(-4 + -4x) 30 + 3x = (-4 * 6 + -4x * 6) 30 + 3x = (-24 + -24x) Solving 30 + 3x = -24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 30 + 3x + 24x = -24 + -24x + 24x Combine like terms: 3x + 24x = 27x 30 + 27x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 30 + 27x = -24 + 0 30 + 27x = -24 Add '-30' to each side of the equation. 30 + -30 + 27x = -24 + -30 Combine like terms: 30 + -30 = 0 0 + 27x = -24 + -30 27x = -24 + -30 Combine like terms: -24 + -30 = -54 27x = -54 Divide each side by '27'. x = -2 Simplifying x = -2
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