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Simplifying 2(x + -5) + -1(2 + -4x) = -3(2x + 10) Reorder the terms: 2(-5 + x) + -1(2 + -4x) = -3(2x + 10) (-5 * 2 + x * 2) + -1(2 + -4x) = -3(2x + 10) (-10 + 2x) + -1(2 + -4x) = -3(2x + 10) -10 + 2x + (2 * -1 + -4x * -1) = -3(2x + 10) -10 + 2x + (-2 + 4x) = -3(2x + 10) Reorder the terms: -10 + -2 + 2x + 4x = -3(2x + 10) Combine like terms: -10 + -2 = -12 -12 + 2x + 4x = -3(2x + 10) Combine like terms: 2x + 4x = 6x -12 + 6x = -3(2x + 10) Reorder the terms: -12 + 6x = -3(10 + 2x) -12 + 6x = (10 * -3 + 2x * -3) -12 + 6x = (-30 + -6x) Solving -12 + 6x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 6x + 6x = -30 + -6x + 6x Combine like terms: 6x + 6x = 12x -12 + 12x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 12x = -30 + 0 -12 + 12x = -30 Add '12' to each side of the equation. -12 + 12 + 12x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = -30 + 12 12x = -30 + 12 Combine like terms: -30 + 12 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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