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Simplifying 3(2 + -1x) + -8(9 + -4x) = 7 + 3(x + -4) (2 * 3 + -1x * 3) + -8(9 + -4x) = 7 + 3(x + -4) (6 + -3x) + -8(9 + -4x) = 7 + 3(x + -4) 6 + -3x + (9 * -8 + -4x * -8) = 7 + 3(x + -4) 6 + -3x + (-72 + 32x) = 7 + 3(x + -4) Reorder the terms: 6 + -72 + -3x + 32x = 7 + 3(x + -4) Combine like terms: 6 + -72 = -66 -66 + -3x + 32x = 7 + 3(x + -4) Combine like terms: -3x + 32x = 29x -66 + 29x = 7 + 3(x + -4) Reorder the terms: -66 + 29x = 7 + 3(-4 + x) -66 + 29x = 7 + (-4 * 3 + x * 3) -66 + 29x = 7 + (-12 + 3x) Combine like terms: 7 + -12 = -5 -66 + 29x = -5 + 3x Solving -66 + 29x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -66 + 29x + -3x = -5 + 3x + -3x Combine like terms: 29x + -3x = 26x -66 + 26x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -66 + 26x = -5 + 0 -66 + 26x = -5 Add '66' to each side of the equation. -66 + 66 + 26x = -5 + 66 Combine like terms: -66 + 66 = 0 0 + 26x = -5 + 66 26x = -5 + 66 Combine like terms: -5 + 66 = 61 26x = 61 Divide each side by '26'. x = 2.346153846 Simplifying x = 2.346153846
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