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Simplifying 4(x + -1) + -3(x + 1) = 6 Reorder the terms: 4(-1 + x) + -3(x + 1) = 6 (-1 * 4 + x * 4) + -3(x + 1) = 6 (-4 + 4x) + -3(x + 1) = 6 Reorder the terms: -4 + 4x + -3(1 + x) = 6 -4 + 4x + (1 * -3 + x * -3) = 6 -4 + 4x + (-3 + -3x) = 6 Reorder the terms: -4 + -3 + 4x + -3x = 6 Combine like terms: -4 + -3 = -7 -7 + 4x + -3x = 6 Combine like terms: 4x + -3x = 1x -7 + 1x = 6 Solving -7 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 6 + 7 1x = 6 + 7 Combine like terms: 6 + 7 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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