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Simplifying 9(x + 10) + x = 2(x + 3) + -4 Reorder the terms: 9(10 + x) + x = 2(x + 3) + -4 (10 * 9 + x * 9) + x = 2(x + 3) + -4 (90 + 9x) + x = 2(x + 3) + -4 Combine like terms: 9x + x = 10x 90 + 10x = 2(x + 3) + -4 Reorder the terms: 90 + 10x = 2(3 + x) + -4 90 + 10x = (3 * 2 + x * 2) + -4 90 + 10x = (6 + 2x) + -4 Reorder the terms: 90 + 10x = 6 + -4 + 2x Combine like terms: 6 + -4 = 2 90 + 10x = 2 + 2x Solving 90 + 10x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 90 + 10x + -2x = 2 + 2x + -2x Combine like terms: 10x + -2x = 8x 90 + 8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 90 + 8x = 2 + 0 90 + 8x = 2 Add '-90' to each side of the equation. 90 + -90 + 8x = 2 + -90 Combine like terms: 90 + -90 = 0 0 + 8x = 2 + -90 8x = 2 + -90 Combine like terms: 2 + -90 = -88 8x = -88 Divide each side by '8'. x = -11 Simplifying x = -11
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