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Simplifying 6(x + -3) + -3(x + 1) = 4(3 + 2) Reorder the terms: 6(-3 + x) + -3(x + 1) = 4(3 + 2) (-3 * 6 + x * 6) + -3(x + 1) = 4(3 + 2) (-18 + 6x) + -3(x + 1) = 4(3 + 2) Reorder the terms: -18 + 6x + -3(1 + x) = 4(3 + 2) -18 + 6x + (1 * -3 + x * -3) = 4(3 + 2) -18 + 6x + (-3 + -3x) = 4(3 + 2) Reorder the terms: -18 + -3 + 6x + -3x = 4(3 + 2) Combine like terms: -18 + -3 = -21 -21 + 6x + -3x = 4(3 + 2) Combine like terms: 6x + -3x = 3x -21 + 3x = 4(3 + 2) Combine like terms: 3 + 2 = 5 -21 + 3x = 4(5) Multiply 4 * 5 -21 + 3x = 20 Solving -21 + 3x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3x = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 20 + 21 3x = 20 + 21 Combine like terms: 20 + 21 = 41 3x = 41 Divide each side by '3'. x = 13.66666667 Simplifying x = 13.66666667
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