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Simplifying 4(6 + -4x) + -27x = 10x + -31 (6 * 4 + -4x * 4) + -27x = 10x + -31 (24 + -16x) + -27x = 10x + -31 Combine like terms: -16x + -27x = -43x 24 + -43x = 10x + -31 Reorder the terms: 24 + -43x = -31 + 10x Solving 24 + -43x = -31 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -43x + -10x = -31 + 10x + -10x Combine like terms: -43x + -10x = -53x 24 + -53x = -31 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -53x = -31 + 0 24 + -53x = -31 Add '-24' to each side of the equation. 24 + -24 + -53x = -31 + -24 Combine like terms: 24 + -24 = 0 0 + -53x = -31 + -24 -53x = -31 + -24 Combine like terms: -31 + -24 = -55 -53x = -55 Divide each side by '-53'. x = 1.037735849 Simplifying x = 1.037735849
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