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Simplifying 4(5x + -3) = 5(6x + -2) Reorder the terms: 4(-3 + 5x) = 5(6x + -2) (-3 * 4 + 5x * 4) = 5(6x + -2) (-12 + 20x) = 5(6x + -2) Reorder the terms: -12 + 20x = 5(-2 + 6x) -12 + 20x = (-2 * 5 + 6x * 5) -12 + 20x = (-10 + 30x) Solving -12 + 20x = -10 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -12 + 20x + -30x = -10 + 30x + -30x Combine like terms: 20x + -30x = -10x -12 + -10x = -10 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + -10x = -10 + 0 -12 + -10x = -10 Add '12' to each side of the equation. -12 + 12 + -10x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = -10 + 12 -10x = -10 + 12 Combine like terms: -10 + 12 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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