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Simplifying 2(3x + -1) + -1(x + -4) = 7 Reorder the terms: 2(-1 + 3x) + -1(x + -4) = 7 (-1 * 2 + 3x * 2) + -1(x + -4) = 7 (-2 + 6x) + -1(x + -4) = 7 Reorder the terms: -2 + 6x + -1(-4 + x) = 7 -2 + 6x + (-4 * -1 + x * -1) = 7 -2 + 6x + (4 + -1x) = 7 Reorder the terms: -2 + 4 + 6x + -1x = 7 Combine like terms: -2 + 4 = 2 2 + 6x + -1x = 7 Combine like terms: 6x + -1x = 5x 2 + 5x = 7 Solving 2 + 5x = 7 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 + 5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 7 + -2 5x = 7 + -2 Combine like terms: 7 + -2 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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