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Simplifying 24 + -6x = 2x + 6(-3x + -1) Reorder the terms: 24 + -6x = 2x + 6(-1 + -3x) 24 + -6x = 2x + (-1 * 6 + -3x * 6) 24 + -6x = 2x + (-6 + -18x) Reorder the terms: 24 + -6x = -6 + 2x + -18x Combine like terms: 2x + -18x = -16x 24 + -6x = -6 + -16x Solving 24 + -6x = -6 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 24 + -6x + 16x = -6 + -16x + 16x Combine like terms: -6x + 16x = 10x 24 + 10x = -6 + -16x + 16x Combine like terms: -16x + 16x = 0 24 + 10x = -6 + 0 24 + 10x = -6 Add '-24' to each side of the equation. 24 + -24 + 10x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -6 + -24 10x = -6 + -24 Combine like terms: -6 + -24 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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