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Simplifying 4(x + -2) + 3(2x + -1) = 6 Reorder the terms: 4(-2 + x) + 3(2x + -1) = 6 (-2 * 4 + x * 4) + 3(2x + -1) = 6 (-8 + 4x) + 3(2x + -1) = 6 Reorder the terms: -8 + 4x + 3(-1 + 2x) = 6 -8 + 4x + (-1 * 3 + 2x * 3) = 6 -8 + 4x + (-3 + 6x) = 6 Reorder the terms: -8 + -3 + 4x + 6x = 6 Combine like terms: -8 + -3 = -11 -11 + 4x + 6x = 6 Combine like terms: 4x + 6x = 10x -11 + 10x = 6 Solving -11 + 10x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 10x = 6 + 11 Combine like terms: -11 + 11 = 0 0 + 10x = 6 + 11 10x = 6 + 11 Combine like terms: 6 + 11 = 17 10x = 17 Divide each side by '10'. x = 1.7 Simplifying x = 1.7
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