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Simplifying 2(2x + -1) + -3(x + -1) + 4x + -7 = 6 Reorder the terms: 2(-1 + 2x) + -3(x + -1) + 4x + -7 = 6 (-1 * 2 + 2x * 2) + -3(x + -1) + 4x + -7 = 6 (-2 + 4x) + -3(x + -1) + 4x + -7 = 6 Reorder the terms: -2 + 4x + -3(-1 + x) + 4x + -7 = 6 -2 + 4x + (-1 * -3 + x * -3) + 4x + -7 = 6 -2 + 4x + (3 + -3x) + 4x + -7 = 6 Reorder the terms: -2 + 3 + -7 + 4x + -3x + 4x = 6 Combine like terms: -2 + 3 = 1 1 + -7 + 4x + -3x + 4x = 6 Combine like terms: 1 + -7 = -6 -6 + 4x + -3x + 4x = 6 Combine like terms: 4x + -3x = 1x -6 + 1x + 4x = 6 Combine like terms: 1x + 4x = 5x -6 + 5x = 6 Solving -6 + 5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 6 + 6 5x = 6 + 6 Combine like terms: 6 + 6 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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