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Simplifying -4(3x + -1) = 10(x + -5) Reorder the terms: -4(-1 + 3x) = 10(x + -5) (-1 * -4 + 3x * -4) = 10(x + -5) (4 + -12x) = 10(x + -5) Reorder the terms: 4 + -12x = 10(-5 + x) 4 + -12x = (-5 * 10 + x * 10) 4 + -12x = (-50 + 10x) Solving 4 + -12x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + -12x + -10x = -50 + 10x + -10x Combine like terms: -12x + -10x = -22x 4 + -22x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -22x = -50 + 0 4 + -22x = -50 Add '-4' to each side of the equation. 4 + -4 + -22x = -50 + -4 Combine like terms: 4 + -4 = 0 0 + -22x = -50 + -4 -22x = -50 + -4 Combine like terms: -50 + -4 = -54 -22x = -54 Divide each side by '-22'. x = 2.454545455 Simplifying x = 2.454545455
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