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Simplifying 10(x + 3) + -9(-9x + -4) = x + -5 + 3 Reorder the terms: 10(3 + x) + -9(-9x + -4) = x + -5 + 3 (3 * 10 + x * 10) + -9(-9x + -4) = x + -5 + 3 (30 + 10x) + -9(-9x + -4) = x + -5 + 3 Reorder the terms: 30 + 10x + -9(-4 + -9x) = x + -5 + 3 30 + 10x + (-4 * -9 + -9x * -9) = x + -5 + 3 30 + 10x + (36 + 81x) = x + -5 + 3 Reorder the terms: 30 + 36 + 10x + 81x = x + -5 + 3 Combine like terms: 30 + 36 = 66 66 + 10x + 81x = x + -5 + 3 Combine like terms: 10x + 81x = 91x 66 + 91x = x + -5 + 3 Reorder the terms: 66 + 91x = -5 + 3 + x Combine like terms: -5 + 3 = -2 66 + 91x = -2 + x Solving 66 + 91x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 66 + 91x + -1x = -2 + x + -1x Combine like terms: 91x + -1x = 90x 66 + 90x = -2 + x + -1x Combine like terms: x + -1x = 0 66 + 90x = -2 + 0 66 + 90x = -2 Add '-66' to each side of the equation. 66 + -66 + 90x = -2 + -66 Combine like terms: 66 + -66 = 0 0 + 90x = -2 + -66 90x = -2 + -66 Combine like terms: -2 + -66 = -68 90x = -68 Divide each side by '90'. x = -0.7555555556 Simplifying x = -0.7555555556
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