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Simplifying 4 + -6(2 + -8x) = 3x + 4(x + -9) 4 + (2 * -6 + -8x * -6) = 3x + 4(x + -9) 4 + (-12 + 48x) = 3x + 4(x + -9) Combine like terms: 4 + -12 = -8 -8 + 48x = 3x + 4(x + -9) Reorder the terms: -8 + 48x = 3x + 4(-9 + x) -8 + 48x = 3x + (-9 * 4 + x * 4) -8 + 48x = 3x + (-36 + 4x) Reorder the terms: -8 + 48x = -36 + 3x + 4x Combine like terms: 3x + 4x = 7x -8 + 48x = -36 + 7x Solving -8 + 48x = -36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 48x + -7x = -36 + 7x + -7x Combine like terms: 48x + -7x = 41x -8 + 41x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 41x = -36 + 0 -8 + 41x = -36 Add '8' to each side of the equation. -8 + 8 + 41x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + 41x = -36 + 8 41x = -36 + 8 Combine like terms: -36 + 8 = -28 41x = -28 Divide each side by '41'. x = -0.6829268293 Simplifying x = -0.6829268293
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