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Simplifying 3(x + -2) + -1(5x + 4) = 4(3x + 3) Reorder the terms: 3(-2 + x) + -1(5x + 4) = 4(3x + 3) (-2 * 3 + x * 3) + -1(5x + 4) = 4(3x + 3) (-6 + 3x) + -1(5x + 4) = 4(3x + 3) Reorder the terms: -6 + 3x + -1(4 + 5x) = 4(3x + 3) -6 + 3x + (4 * -1 + 5x * -1) = 4(3x + 3) -6 + 3x + (-4 + -5x) = 4(3x + 3) Reorder the terms: -6 + -4 + 3x + -5x = 4(3x + 3) Combine like terms: -6 + -4 = -10 -10 + 3x + -5x = 4(3x + 3) Combine like terms: 3x + -5x = -2x -10 + -2x = 4(3x + 3) Reorder the terms: -10 + -2x = 4(3 + 3x) -10 + -2x = (3 * 4 + 3x * 4) -10 + -2x = (12 + 12x) Solving -10 + -2x = 12 + 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. -10 + -2x + -12x = 12 + 12x + -12x Combine like terms: -2x + -12x = -14x -10 + -14x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -14x = 12 + 0 -10 + -14x = 12 Add '10' to each side of the equation. -10 + 10 + -14x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = 12 + 10 -14x = 12 + 10 Combine like terms: 12 + 10 = 22 -14x = 22 Divide each side by '-14'. x = -1.571428571 Simplifying x = -1.571428571
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