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