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Simplifying 12 + -6(5x + -8) + -9x = -2(-8x + 7) + -10 Reorder the terms: 12 + -6(-8 + 5x) + -9x = -2(-8x + 7) + -10 12 + (-8 * -6 + 5x * -6) + -9x = -2(-8x + 7) + -10 12 + (48 + -30x) + -9x = -2(-8x + 7) + -10 Combine like terms: 12 + 48 = 60 60 + -30x + -9x = -2(-8x + 7) + -10 Combine like terms: -30x + -9x = -39x 60 + -39x = -2(-8x + 7) + -10 Reorder the terms: 60 + -39x = -2(7 + -8x) + -10 60 + -39x = (7 * -2 + -8x * -2) + -10 60 + -39x = (-14 + 16x) + -10 Reorder the terms: 60 + -39x = -14 + -10 + 16x Combine like terms: -14 + -10 = -24 60 + -39x = -24 + 16x Solving 60 + -39x = -24 + 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. 60 + -39x + -16x = -24 + 16x + -16x Combine like terms: -39x + -16x = -55x 60 + -55x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 60 + -55x = -24 + 0 60 + -55x = -24 Add '-60' to each side of the equation. 60 + -60 + -55x = -24 + -60 Combine like terms: 60 + -60 = 0 0 + -55x = -24 + -60 -55x = -24 + -60 Combine like terms: -24 + -60 = -84 -55x = -84 Divide each side by '-55'. x = 1.527272727 Simplifying x = 1.527272727
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