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Simplifying 9(x + 10) + x = 4(x + 4) + -2 Reorder the terms: 9(10 + x) + x = 4(x + 4) + -2 (10 * 9 + x * 9) + x = 4(x + 4) + -2 (90 + 9x) + x = 4(x + 4) + -2 Combine like terms: 9x + x = 10x 90 + 10x = 4(x + 4) + -2 Reorder the terms: 90 + 10x = 4(4 + x) + -2 90 + 10x = (4 * 4 + x * 4) + -2 90 + 10x = (16 + 4x) + -2 Reorder the terms: 90 + 10x = 16 + -2 + 4x Combine like terms: 16 + -2 = 14 90 + 10x = 14 + 4x Solving 90 + 10x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 90 + 10x + -4x = 14 + 4x + -4x Combine like terms: 10x + -4x = 6x 90 + 6x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 90 + 6x = 14 + 0 90 + 6x = 14 Add '-90' to each side of the equation. 90 + -90 + 6x = 14 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 14 + -90 6x = 14 + -90 Combine like terms: 14 + -90 = -76 6x = -76 Divide each side by '6'. x = -12.66666667 Simplifying x = -12.66666667
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