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Simplifying 6(-8x + -4) + -1(x + -10) = 4(x + 6) + 9 Reorder the terms: 6(-4 + -8x) + -1(x + -10) = 4(x + 6) + 9 (-4 * 6 + -8x * 6) + -1(x + -10) = 4(x + 6) + 9 (-24 + -48x) + -1(x + -10) = 4(x + 6) + 9 Reorder the terms: -24 + -48x + -1(-10 + x) = 4(x + 6) + 9 -24 + -48x + (-10 * -1 + x * -1) = 4(x + 6) + 9 -24 + -48x + (10 + -1x) = 4(x + 6) + 9 Reorder the terms: -24 + 10 + -48x + -1x = 4(x + 6) + 9 Combine like terms: -24 + 10 = -14 -14 + -48x + -1x = 4(x + 6) + 9 Combine like terms: -48x + -1x = -49x -14 + -49x = 4(x + 6) + 9 Reorder the terms: -14 + -49x = 4(6 + x) + 9 -14 + -49x = (6 * 4 + x * 4) + 9 -14 + -49x = (24 + 4x) + 9 Reorder the terms: -14 + -49x = 24 + 9 + 4x Combine like terms: 24 + 9 = 33 -14 + -49x = 33 + 4x Solving -14 + -49x = 33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + -49x + -4x = 33 + 4x + -4x Combine like terms: -49x + -4x = -53x -14 + -53x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -53x = 33 + 0 -14 + -53x = 33 Add '14' to each side of the equation. -14 + 14 + -53x = 33 + 14 Combine like terms: -14 + 14 = 0 0 + -53x = 33 + 14 -53x = 33 + 14 Combine like terms: 33 + 14 = 47 -53x = 47 Divide each side by '-53'. x = -0.8867924528 Simplifying x = -0.8867924528
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