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Simplifying 4(x + -3) = x + 2(5x + -1) Reorder the terms: 4(-3 + x) = x + 2(5x + -1) (-3 * 4 + x * 4) = x + 2(5x + -1) (-12 + 4x) = x + 2(5x + -1) Reorder the terms: -12 + 4x = x + 2(-1 + 5x) -12 + 4x = x + (-1 * 2 + 5x * 2) -12 + 4x = x + (-2 + 10x) Reorder the terms: -12 + 4x = -2 + x + 10x Combine like terms: x + 10x = 11x -12 + 4x = -2 + 11x Solving -12 + 4x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -12 + 4x + -11x = -2 + 11x + -11x Combine like terms: 4x + -11x = -7x -12 + -7x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + -7x = -2 + 0 -12 + -7x = -2 Add '12' to each side of the equation. -12 + 12 + -7x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -2 + 12 -7x = -2 + 12 Combine like terms: -2 + 12 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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