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Simplifying 9x + 8 = 2(12x + -6) Reorder the terms: 8 + 9x = 2(12x + -6) Reorder the terms: 8 + 9x = 2(-6 + 12x) 8 + 9x = (-6 * 2 + 12x * 2) 8 + 9x = (-12 + 24x) Solving 8 + 9x = -12 + 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. 8 + 9x + -24x = -12 + 24x + -24x Combine like terms: 9x + -24x = -15x 8 + -15x = -12 + 24x + -24x Combine like terms: 24x + -24x = 0 8 + -15x = -12 + 0 8 + -15x = -12 Add '-8' to each side of the equation. 8 + -8 + -15x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = -12 + -8 -15x = -12 + -8 Combine like terms: -12 + -8 = -20 -15x = -20 Divide each side by '-15'. x = 1.333333333 Simplifying x = 1.333333333
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