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Simplifying 3(x + -6) + -4 = 2 + -3(5x + 4) Reorder the terms: 3(-6 + x) + -4 = 2 + -3(5x + 4) (-6 * 3 + x * 3) + -4 = 2 + -3(5x + 4) (-18 + 3x) + -4 = 2 + -3(5x + 4) Reorder the terms: -18 + -4 + 3x = 2 + -3(5x + 4) Combine like terms: -18 + -4 = -22 -22 + 3x = 2 + -3(5x + 4) Reorder the terms: -22 + 3x = 2 + -3(4 + 5x) -22 + 3x = 2 + (4 * -3 + 5x * -3) -22 + 3x = 2 + (-12 + -15x) Combine like terms: 2 + -12 = -10 -22 + 3x = -10 + -15x Solving -22 + 3x = -10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -22 + 3x + 15x = -10 + -15x + 15x Combine like terms: 3x + 15x = 18x -22 + 18x = -10 + -15x + 15x Combine like terms: -15x + 15x = 0 -22 + 18x = -10 + 0 -22 + 18x = -10 Add '22' to each side of the equation. -22 + 22 + 18x = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 18x = -10 + 22 18x = -10 + 22 Combine like terms: -10 + 22 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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