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Simplifying 4(-3x + 1) = -10(x + -4) Reorder the terms: 4(1 + -3x) = -10(x + -4) (1 * 4 + -3x * 4) = -10(x + -4) (4 + -12x) = -10(x + -4) Reorder the terms: 4 + -12x = -10(-4 + x) 4 + -12x = (-4 * -10 + x * -10) 4 + -12x = (40 + -10x) Solving 4 + -12x = 40 + -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 = 40 + -10x + 10x Combine like terms: -12x + 10x = -2x 4 + -2x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + -2x = 40 + 0 4 + -2x = 40 Add '-4' to each side of the equation. 4 + -4 + -2x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 40 + -4 -2x = 40 + -4 Combine like terms: 40 + -4 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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