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Simplifying -10(1 + -9x) + 6(x + -10) + 8x = -3(x + -4) (1 * -10 + -9x * -10) + 6(x + -10) + 8x = -3(x + -4) (-10 + 90x) + 6(x + -10) + 8x = -3(x + -4) Reorder the terms: -10 + 90x + 6(-10 + x) + 8x = -3(x + -4) -10 + 90x + (-10 * 6 + x * 6) + 8x = -3(x + -4) -10 + 90x + (-60 + 6x) + 8x = -3(x + -4) Reorder the terms: -10 + -60 + 90x + 6x + 8x = -3(x + -4) Combine like terms: -10 + -60 = -70 -70 + 90x + 6x + 8x = -3(x + -4) Combine like terms: 90x + 6x = 96x -70 + 96x + 8x = -3(x + -4) Combine like terms: 96x + 8x = 104x -70 + 104x = -3(x + -4) Reorder the terms: -70 + 104x = -3(-4 + x) -70 + 104x = (-4 * -3 + x * -3) -70 + 104x = (12 + -3x) Solving -70 + 104x = 12 + -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. -70 + 104x + 3x = 12 + -3x + 3x Combine like terms: 104x + 3x = 107x -70 + 107x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -70 + 107x = 12 + 0 -70 + 107x = 12 Add '70' to each side of the equation. -70 + 70 + 107x = 12 + 70 Combine like terms: -70 + 70 = 0 0 + 107x = 12 + 70 107x = 12 + 70 Combine like terms: 12 + 70 = 82 107x = 82 Divide each side by '107'. x = 0.7663551402 Simplifying x = 0.7663551402
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