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Simplifying 3(5x + -6) = -2(4x + 5) Reorder the terms: 3(-6 + 5x) = -2(4x + 5) (-6 * 3 + 5x * 3) = -2(4x + 5) (-18 + 15x) = -2(4x + 5) Reorder the terms: -18 + 15x = -2(5 + 4x) -18 + 15x = (5 * -2 + 4x * -2) -18 + 15x = (-10 + -8x) Solving -18 + 15x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + 15x + 8x = -10 + -8x + 8x Combine like terms: 15x + 8x = 23x -18 + 23x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 23x = -10 + 0 -18 + 23x = -10 Add '18' to each side of the equation. -18 + 18 + 23x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 23x = -10 + 18 23x = -10 + 18 Combine like terms: -10 + 18 = 8 23x = 8 Divide each side by '23'. x = 0.347826087 Simplifying x = 0.347826087
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