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Simplifying 4(x + 2) + -7(2x + -1) = 47 + -9(3x + -4) Reorder the terms: 4(2 + x) + -7(2x + -1) = 47 + -9(3x + -4) (2 * 4 + x * 4) + -7(2x + -1) = 47 + -9(3x + -4) (8 + 4x) + -7(2x + -1) = 47 + -9(3x + -4) Reorder the terms: 8 + 4x + -7(-1 + 2x) = 47 + -9(3x + -4) 8 + 4x + (-1 * -7 + 2x * -7) = 47 + -9(3x + -4) 8 + 4x + (7 + -14x) = 47 + -9(3x + -4) Reorder the terms: 8 + 7 + 4x + -14x = 47 + -9(3x + -4) Combine like terms: 8 + 7 = 15 15 + 4x + -14x = 47 + -9(3x + -4) Combine like terms: 4x + -14x = -10x 15 + -10x = 47 + -9(3x + -4) Reorder the terms: 15 + -10x = 47 + -9(-4 + 3x) 15 + -10x = 47 + (-4 * -9 + 3x * -9) 15 + -10x = 47 + (36 + -27x) Combine like terms: 47 + 36 = 83 15 + -10x = 83 + -27x Solving 15 + -10x = 83 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 15 + -10x + 27x = 83 + -27x + 27x Combine like terms: -10x + 27x = 17x 15 + 17x = 83 + -27x + 27x Combine like terms: -27x + 27x = 0 15 + 17x = 83 + 0 15 + 17x = 83 Add '-15' to each side of the equation. 15 + -15 + 17x = 83 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = 83 + -15 17x = 83 + -15 Combine like terms: 83 + -15 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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