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Simplifying 9(x + 10) + x = 4(x + 2) + -8 Reorder the terms: 9(10 + x) + x = 4(x + 2) + -8 (10 * 9 + x * 9) + x = 4(x + 2) + -8 (90 + 9x) + x = 4(x + 2) + -8 Combine like terms: 9x + x = 10x 90 + 10x = 4(x + 2) + -8 Reorder the terms: 90 + 10x = 4(2 + x) + -8 90 + 10x = (2 * 4 + x * 4) + -8 90 + 10x = (8 + 4x) + -8 Reorder the terms: 90 + 10x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 90 + 10x = 0 + 4x 90 + 10x = 4x Solving 90 + 10x = 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 = 4x + -4x Combine like terms: 10x + -4x = 6x 90 + 6x = 4x + -4x Combine like terms: 4x + -4x = 0 90 + 6x = 0 Add '-90' to each side of the equation. 90 + -90 + 6x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 0 + -90 6x = 0 + -90 Combine like terms: 0 + -90 = -90 6x = -90 Divide each side by '6'. x = -15 Simplifying x = -15
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