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Simplifying 10(x + 3) + -1(-9 + 4) = x + -5 + 3 Reorder the terms: 10(3 + x) + -1(-9 + 4) = x + -5 + 3 (3 * 10 + x * 10) + -1(-9 + 4) = x + -5 + 3 (30 + 10x) + -1(-9 + 4) = x + -5 + 3 Combine like terms: -9 + 4 = -5 30 + 10x + -1(-5) = x + -5 + 3 Multiply -1 * -5 30 + 10x + 5 = x + -5 + 3 Reorder the terms: 30 + 5 + 10x = x + -5 + 3 Combine like terms: 30 + 5 = 35 35 + 10x = x + -5 + 3 Reorder the terms: 35 + 10x = -5 + 3 + x Combine like terms: -5 + 3 = -2 35 + 10x = -2 + x Solving 35 + 10x = -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. 35 + 10x + -1x = -2 + x + -1x Combine like terms: 10x + -1x = 9x 35 + 9x = -2 + x + -1x Combine like terms: x + -1x = 0 35 + 9x = -2 + 0 35 + 9x = -2 Add '-35' to each side of the equation. 35 + -35 + 9x = -2 + -35 Combine like terms: 35 + -35 = 0 0 + 9x = -2 + -35 9x = -2 + -35 Combine like terms: -2 + -35 = -37 9x = -37 Divide each side by '9'. x = -4.111111111 Simplifying x = -4.111111111
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