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Simplifying -10(x + -4 + 9) + 6x + 3(x + -8) = -41 + 25 Reorder the terms: -10(-4 + 9 + x) + 6x + 3(x + -8) = -41 + 25 Combine like terms: -4 + 9 = 5 -10(5 + x) + 6x + 3(x + -8) = -41 + 25 (5 * -10 + x * -10) + 6x + 3(x + -8) = -41 + 25 (-50 + -10x) + 6x + 3(x + -8) = -41 + 25 Reorder the terms: -50 + -10x + 6x + 3(-8 + x) = -41 + 25 -50 + -10x + 6x + (-8 * 3 + x * 3) = -41 + 25 -50 + -10x + 6x + (-24 + 3x) = -41 + 25 Reorder the terms: -50 + -24 + -10x + 6x + 3x = -41 + 25 Combine like terms: -50 + -24 = -74 -74 + -10x + 6x + 3x = -41 + 25 Combine like terms: -10x + 6x = -4x -74 + -4x + 3x = -41 + 25 Combine like terms: -4x + 3x = -1x -74 + -1x = -41 + 25 Combine like terms: -41 + 25 = -16 -74 + -1x = -16 Solving -74 + -1x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -1x = -16 + 74 Combine like terms: -74 + 74 = 0 0 + -1x = -16 + 74 -1x = -16 + 74 Combine like terms: -16 + 74 = 58 -1x = 58 Divide each side by '-1'. x = -58 Simplifying x = -58
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