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Simplifying 10 + 6(-9 + -4x) = 10(x + -12) + 8 10 + (-9 * 6 + -4x * 6) = 10(x + -12) + 8 10 + (-54 + -24x) = 10(x + -12) + 8 Combine like terms: 10 + -54 = -44 -44 + -24x = 10(x + -12) + 8 Reorder the terms: -44 + -24x = 10(-12 + x) + 8 -44 + -24x = (-12 * 10 + x * 10) + 8 -44 + -24x = (-120 + 10x) + 8 Reorder the terms: -44 + -24x = -120 + 8 + 10x Combine like terms: -120 + 8 = -112 -44 + -24x = -112 + 10x Solving -44 + -24x = -112 + 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. -44 + -24x + -10x = -112 + 10x + -10x Combine like terms: -24x + -10x = -34x -44 + -34x = -112 + 10x + -10x Combine like terms: 10x + -10x = 0 -44 + -34x = -112 + 0 -44 + -34x = -112 Add '44' to each side of the equation. -44 + 44 + -34x = -112 + 44 Combine like terms: -44 + 44 = 0 0 + -34x = -112 + 44 -34x = -112 + 44 Combine like terms: -112 + 44 = -68 -34x = -68 Divide each side by '-34'. x = 2 Simplifying x = 2
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