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Simplifying 4(x + -1) + -3(x + 2) = 6 Reorder the terms: 4(-1 + x) + -3(x + 2) = 6 (-1 * 4 + x * 4) + -3(x + 2) = 6 (-4 + 4x) + -3(x + 2) = 6 Reorder the terms: -4 + 4x + -3(2 + x) = 6 -4 + 4x + (2 * -3 + x * -3) = 6 -4 + 4x + (-6 + -3x) = 6 Reorder the terms: -4 + -6 + 4x + -3x = 6 Combine like terms: -4 + -6 = -10 -10 + 4x + -3x = 6 Combine like terms: 4x + -3x = 1x -10 + 1x = 6 Solving -10 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 6 + 10 1x = 6 + 10 Combine like terms: 6 + 10 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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