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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 = -13 30 + 10x + -1(-13) = x + -5 + 3 Multiply -1 * -13 30 + 10x + 13 = x + -5 + 3 Reorder the terms: 30 + 13 + 10x = x + -5 + 3 Combine like terms: 30 + 13 = 43 43 + 10x = x + -5 + 3 Reorder the terms: 43 + 10x = -5 + 3 + x Combine like terms: -5 + 3 = -2 43 + 10x = -2 + x Solving 43 + 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. 43 + 10x + -1x = -2 + x + -1x Combine like terms: 10x + -1x = 9x 43 + 9x = -2 + x + -1x Combine like terms: x + -1x = 0 43 + 9x = -2 + 0 43 + 9x = -2 Add '-43' to each side of the equation. 43 + -43 + 9x = -2 + -43 Combine like terms: 43 + -43 = 0 0 + 9x = -2 + -43 9x = -2 + -43 Combine like terms: -2 + -43 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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