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Simplifying 4(x + -1) + -3(x + 3) = -6 Reorder the terms: 4(-1 + x) + -3(x + 3) = -6 (-1 * 4 + x * 4) + -3(x + 3) = -6 (-4 + 4x) + -3(x + 3) = -6 Reorder the terms: -4 + 4x + -3(3 + x) = -6 -4 + 4x + (3 * -3 + x * -3) = -6 -4 + 4x + (-9 + -3x) = -6 Reorder the terms: -4 + -9 + 4x + -3x = -6 Combine like terms: -4 + -9 = -13 -13 + 4x + -3x = -6 Combine like terms: 4x + -3x = 1x -13 + 1x = -6 Solving -13 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -6 + 13 1x = -6 + 13 Combine like terms: -6 + 13 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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