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Simplifying 2(2x + -1) + -3(x + -3) = 6 Reorder the terms: 2(-1 + 2x) + -3(x + -3) = 6 (-1 * 2 + 2x * 2) + -3(x + -3) = 6 (-2 + 4x) + -3(x + -3) = 6 Reorder the terms: -2 + 4x + -3(-3 + x) = 6 -2 + 4x + (-3 * -3 + x * -3) = 6 -2 + 4x + (9 + -3x) = 6 Reorder the terms: -2 + 9 + 4x + -3x = 6 Combine like terms: -2 + 9 = 7 7 + 4x + -3x = 6 Combine like terms: 4x + -3x = 1x 7 + 1x = 6 Solving 7 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 6 + -7 1x = 6 + -7 Combine like terms: 6 + -7 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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