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Simplifying 1[2](4x + -10) = 1[3](15x + -6) Reorder the terms: 1 * 2(-10 + 4x) = 1[3](15x + -6) Multiply 1 * 2 2(-10 + 4x) = 1[3](15x + -6) (-10 * 2 + 4x * 2) = 1[3](15x + -6) (-20 + 8x) = 1[3](15x + -6) Reorder the terms: -20 + 8x = 1 * 3(-6 + 15x) Multiply 1 * 3 -20 + 8x = 3(-6 + 15x) -20 + 8x = (-6 * 3 + 15x * 3) -20 + 8x = (-18 + 45x) Solving -20 + 8x = -18 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -20 + 8x + -45x = -18 + 45x + -45x Combine like terms: 8x + -45x = -37x -20 + -37x = -18 + 45x + -45x Combine like terms: 45x + -45x = 0 -20 + -37x = -18 + 0 -20 + -37x = -18 Add '20' to each side of the equation. -20 + 20 + -37x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -37x = -18 + 20 -37x = -18 + 20 Combine like terms: -18 + 20 = 2 -37x = 2 Divide each side by '-37'. x = -0.05405405405 Simplifying x = -0.05405405405
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