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Simplifying 10(x + 3) + -1(-9x + 4) = x + -5 + 3 Reorder the terms: 10(3 + x) + -1(-9x + 4) = x + -5 + 3 (3 * 10 + x * 10) + -1(-9x + 4) = x + -5 + 3 (30 + 10x) + -1(-9x + 4) = x + -5 + 3 Reorder the terms: 30 + 10x + -1(4 + -9x) = x + -5 + 3 30 + 10x + (4 * -1 + -9x * -1) = x + -5 + 3 30 + 10x + (-4 + 9x) = x + -5 + 3 Reorder the terms: 30 + -4 + 10x + 9x = x + -5 + 3 Combine like terms: 30 + -4 = 26 26 + 10x + 9x = x + -5 + 3 Combine like terms: 10x + 9x = 19x 26 + 19x = x + -5 + 3 Reorder the terms: 26 + 19x = -5 + 3 + x Combine like terms: -5 + 3 = -2 26 + 19x = -2 + x Solving 26 + 19x = -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. 26 + 19x + -1x = -2 + x + -1x Combine like terms: 19x + -1x = 18x 26 + 18x = -2 + x + -1x Combine like terms: x + -1x = 0 26 + 18x = -2 + 0 26 + 18x = -2 Add '-26' to each side of the equation. 26 + -26 + 18x = -2 + -26 Combine like terms: 26 + -26 = 0 0 + 18x = -2 + -26 18x = -2 + -26 Combine like terms: -2 + -26 = -28 18x = -28 Divide each side by '18'. x = -1.555555556 Simplifying x = -1.555555556
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