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Simplifying 4(3 + -1x) + 5(10 + -1x) = 89 (3 * 4 + -1x * 4) + 5(10 + -1x) = 89 (12 + -4x) + 5(10 + -1x) = 89 12 + -4x + (10 * 5 + -1x * 5) = 89 12 + -4x + (50 + -5x) = 89 Reorder the terms: 12 + 50 + -4x + -5x = 89 Combine like terms: 12 + 50 = 62 62 + -4x + -5x = 89 Combine like terms: -4x + -5x = -9x 62 + -9x = 89 Solving 62 + -9x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -9x = 89 + -62 Combine like terms: 62 + -62 = 0 0 + -9x = 89 + -62 -9x = 89 + -62 Combine like terms: 89 + -62 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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