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Simplifying 3(x + 6) + -40 = 6(x + -3) Reorder the terms: 3(6 + x) + -40 = 6(x + -3) (6 * 3 + x * 3) + -40 = 6(x + -3) (18 + 3x) + -40 = 6(x + -3) Reorder the terms: 18 + -40 + 3x = 6(x + -3) Combine like terms: 18 + -40 = -22 -22 + 3x = 6(x + -3) Reorder the terms: -22 + 3x = 6(-3 + x) -22 + 3x = (-3 * 6 + x * 6) -22 + 3x = (-18 + 6x) Solving -22 + 3x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 3x + -6x = -18 + 6x + -6x Combine like terms: 3x + -6x = -3x -22 + -3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + -3x = -18 + 0 -22 + -3x = -18 Add '22' to each side of the equation. -22 + 22 + -3x = -18 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = -18 + 22 -3x = -18 + 22 Combine like terms: -18 + 22 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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