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Simplifying x + 4(x + -2) = 2x(4 + 2) Reorder the terms: x + 4(-2 + x) = 2x(4 + 2) x + (-2 * 4 + x * 4) = 2x(4 + 2) x + (-8 + 4x) = 2x(4 + 2) Reorder the terms: -8 + x + 4x = 2x(4 + 2) Combine like terms: x + 4x = 5x -8 + 5x = 2x(4 + 2) Combine like terms: 4 + 2 = 6 -8 + 5x = 2x(6) Reorder the terms for easier multiplication: -8 + 5x = 2 * 6x Multiply 2 * 6 -8 + 5x = 12x Solving -8 + 5x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 5x + -12x = 12x + -12x Combine like terms: 5x + -12x = -7x -8 + -7x = 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -7x = 0 Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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