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Simplifying 3(x + -2) = 4(5 + -3x) Reorder the terms: 3(-2 + x) = 4(5 + -3x) (-2 * 3 + x * 3) = 4(5 + -3x) (-6 + 3x) = 4(5 + -3x) -6 + 3x = (5 * 4 + -3x * 4) -6 + 3x = (20 + -12x) Solving -6 + 3x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + 3x + 12x = 20 + -12x + 12x Combine like terms: 3x + 12x = 15x -6 + 15x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 15x = 20 + 0 -6 + 15x = 20 Add '6' to each side of the equation. -6 + 6 + 15x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 20 + 6 15x = 20 + 6 Combine like terms: 20 + 6 = 26 15x = 26 Divide each side by '15'. x = 1.733333333 Simplifying x = 1.733333333
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