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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 = 34 34 + 10x + 9x = x + -5 + 3 Combine like terms: 10x + 9x = 19x 34 + 19x = x + -5 + 3 Reorder the terms: 34 + 19x = -5 + 3 + x Combine like terms: -5 + 3 = -2 34 + 19x = -2 + x Solving 34 + 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. 34 + 19x + -1x = -2 + x + -1x Combine like terms: 19x + -1x = 18x 34 + 18x = -2 + x + -1x Combine like terms: x + -1x = 0 34 + 18x = -2 + 0 34 + 18x = -2 Add '-34' to each side of the equation. 34 + -34 + 18x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 18x = -2 + -34 18x = -2 + -34 Combine like terms: -2 + -34 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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