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Simplifying 3(4x + -2) + -1(-7x + -8) = 40 Reorder the terms: 3(-2 + 4x) + -1(-7x + -8) = 40 (-2 * 3 + 4x * 3) + -1(-7x + -8) = 40 (-6 + 12x) + -1(-7x + -8) = 40 Reorder the terms: -6 + 12x + -1(-8 + -7x) = 40 -6 + 12x + (-8 * -1 + -7x * -1) = 40 -6 + 12x + (8 + 7x) = 40 Reorder the terms: -6 + 8 + 12x + 7x = 40 Combine like terms: -6 + 8 = 2 2 + 12x + 7x = 40 Combine like terms: 12x + 7x = 19x 2 + 19x = 40 Solving 2 + 19x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 19x = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 19x = 40 + -2 19x = 40 + -2 Combine like terms: 40 + -2 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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