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Simplifying 48 = 4x + -2[5x + 12] Reorder the terms: 48 = 4x + -2[12 + 5x] 48 = 4x + [12 * -2 + 5x * -2] 48 = 4x + [-24 + -10x] Reorder the terms: 48 = -24 + 4x + -10x Combine like terms: 4x + -10x = -6x 48 = -24 + -6x Solving 48 = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 48 + 6x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + 6x = -24 + 0 48 + 6x = -24 Add '-48' to each side of the equation. 48 + -48 + 6x = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = -24 + -48 6x = -24 + -48 Combine like terms: -24 + -48 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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