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Simplifying 3(2x + -3) + -12 = 4(5x + -2) Reorder the terms: 3(-3 + 2x) + -12 = 4(5x + -2) (-3 * 3 + 2x * 3) + -12 = 4(5x + -2) (-9 + 6x) + -12 = 4(5x + -2) Reorder the terms: -9 + -12 + 6x = 4(5x + -2) Combine like terms: -9 + -12 = -21 -21 + 6x = 4(5x + -2) Reorder the terms: -21 + 6x = 4(-2 + 5x) -21 + 6x = (-2 * 4 + 5x * 4) -21 + 6x = (-8 + 20x) Solving -21 + 6x = -8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -21 + 6x + -20x = -8 + 20x + -20x Combine like terms: 6x + -20x = -14x -21 + -14x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 -21 + -14x = -8 + 0 -21 + -14x = -8 Add '21' to each side of the equation. -21 + 21 + -14x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + -14x = -8 + 21 -14x = -8 + 21 Combine like terms: -8 + 21 = 13 -14x = 13 Divide each side by '-14'. x = -0.9285714286 Simplifying x = -0.9285714286
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