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Simplifying 15 + -12(8x + -7) = 20 + 6(9 + -4x) Reorder the terms: 15 + -12(-7 + 8x) = 20 + 6(9 + -4x) 15 + (-7 * -12 + 8x * -12) = 20 + 6(9 + -4x) 15 + (84 + -96x) = 20 + 6(9 + -4x) Combine like terms: 15 + 84 = 99 99 + -96x = 20 + 6(9 + -4x) 99 + -96x = 20 + (9 * 6 + -4x * 6) 99 + -96x = 20 + (54 + -24x) Combine like terms: 20 + 54 = 74 99 + -96x = 74 + -24x Solving 99 + -96x = 74 + -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. 99 + -96x + 24x = 74 + -24x + 24x Combine like terms: -96x + 24x = -72x 99 + -72x = 74 + -24x + 24x Combine like terms: -24x + 24x = 0 99 + -72x = 74 + 0 99 + -72x = 74 Add '-99' to each side of the equation. 99 + -99 + -72x = 74 + -99 Combine like terms: 99 + -99 = 0 0 + -72x = 74 + -99 -72x = 74 + -99 Combine like terms: 74 + -99 = -25 -72x = -25 Divide each side by '-72'. x = 0.3472222222 Simplifying x = 0.3472222222
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