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Simplifying 3(x + 10) = 5x + -4(6x + -9) + 38 Reorder the terms: 3(10 + x) = 5x + -4(6x + -9) + 38 (10 * 3 + x * 3) = 5x + -4(6x + -9) + 38 (30 + 3x) = 5x + -4(6x + -9) + 38 Reorder the terms: 30 + 3x = 5x + -4(-9 + 6x) + 38 30 + 3x = 5x + (-9 * -4 + 6x * -4) + 38 30 + 3x = 5x + (36 + -24x) + 38 Reorder the terms: 30 + 3x = 36 + 38 + 5x + -24x Combine like terms: 36 + 38 = 74 30 + 3x = 74 + 5x + -24x Combine like terms: 5x + -24x = -19x 30 + 3x = 74 + -19x Solving 30 + 3x = 74 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 30 + 3x + 19x = 74 + -19x + 19x Combine like terms: 3x + 19x = 22x 30 + 22x = 74 + -19x + 19x Combine like terms: -19x + 19x = 0 30 + 22x = 74 + 0 30 + 22x = 74 Add '-30' to each side of the equation. 30 + -30 + 22x = 74 + -30 Combine like terms: 30 + -30 = 0 0 + 22x = 74 + -30 22x = 74 + -30 Combine like terms: 74 + -30 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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