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Simplifying 10(x + 3) + -1(-9x + -4) = 2(x + -10) + 3 Reorder the terms: 10(3 + x) + -1(-9x + -4) = 2(x + -10) + 3 (3 * 10 + x * 10) + -1(-9x + -4) = 2(x + -10) + 3 (30 + 10x) + -1(-9x + -4) = 2(x + -10) + 3 Reorder the terms: 30 + 10x + -1(-4 + -9x) = 2(x + -10) + 3 30 + 10x + (-4 * -1 + -9x * -1) = 2(x + -10) + 3 30 + 10x + (4 + 9x) = 2(x + -10) + 3 Reorder the terms: 30 + 4 + 10x + 9x = 2(x + -10) + 3 Combine like terms: 30 + 4 = 34 34 + 10x + 9x = 2(x + -10) + 3 Combine like terms: 10x + 9x = 19x 34 + 19x = 2(x + -10) + 3 Reorder the terms: 34 + 19x = 2(-10 + x) + 3 34 + 19x = (-10 * 2 + x * 2) + 3 34 + 19x = (-20 + 2x) + 3 Reorder the terms: 34 + 19x = -20 + 3 + 2x Combine like terms: -20 + 3 = -17 34 + 19x = -17 + 2x Solving 34 + 19x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 34 + 19x + -2x = -17 + 2x + -2x Combine like terms: 19x + -2x = 17x 34 + 17x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + 17x = -17 + 0 34 + 17x = -17 Add '-34' to each side of the equation. 34 + -34 + 17x = -17 + -34 Combine like terms: 34 + -34 = 0 0 + 17x = -17 + -34 17x = -17 + -34 Combine like terms: -17 + -34 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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