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Simplifying 4(x + -3) + -1(x + 3) = 6 Reorder the terms: 4(-3 + x) + -1(x + 3) = 6 (-3 * 4 + x * 4) + -1(x + 3) = 6 (-12 + 4x) + -1(x + 3) = 6 Reorder the terms: -12 + 4x + -1(3 + x) = 6 -12 + 4x + (3 * -1 + x * -1) = 6 -12 + 4x + (-3 + -1x) = 6 Reorder the terms: -12 + -3 + 4x + -1x = 6 Combine like terms: -12 + -3 = -15 -15 + 4x + -1x = 6 Combine like terms: 4x + -1x = 3x -15 + 3x = 6 Solving -15 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 6 + 15 3x = 6 + 15 Combine like terms: 6 + 15 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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