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Simplifying 4(x + -2) + -3(x + 1) = 6 Reorder the terms: 4(-2 + x) + -3(x + 1) = 6 (-2 * 4 + x * 4) + -3(x + 1) = 6 (-8 + 4x) + -3(x + 1) = 6 Reorder the terms: -8 + 4x + -3(1 + x) = 6 -8 + 4x + (1 * -3 + x * -3) = 6 -8 + 4x + (-3 + -3x) = 6 Reorder the terms: -8 + -3 + 4x + -3x = 6 Combine like terms: -8 + -3 = -11 -11 + 4x + -3x = 6 Combine like terms: 4x + -3x = 1x -11 + 1x = 6 Solving -11 + 1x = 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 + 1x = 6 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 6 + 11 1x = 6 + 11 Combine like terms: 6 + 11 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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