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Simplifying 2(x + 2) + -4(2x + -3) = 4(2x + -1) Reorder the terms: 2(2 + x) + -4(2x + -3) = 4(2x + -1) (2 * 2 + x * 2) + -4(2x + -3) = 4(2x + -1) (4 + 2x) + -4(2x + -3) = 4(2x + -1) Reorder the terms: 4 + 2x + -4(-3 + 2x) = 4(2x + -1) 4 + 2x + (-3 * -4 + 2x * -4) = 4(2x + -1) 4 + 2x + (12 + -8x) = 4(2x + -1) Reorder the terms: 4 + 12 + 2x + -8x = 4(2x + -1) Combine like terms: 4 + 12 = 16 16 + 2x + -8x = 4(2x + -1) Combine like terms: 2x + -8x = -6x 16 + -6x = 4(2x + -1) Reorder the terms: 16 + -6x = 4(-1 + 2x) 16 + -6x = (-1 * 4 + 2x * 4) 16 + -6x = (-4 + 8x) Solving 16 + -6x = -4 + 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. 16 + -6x + -8x = -4 + 8x + -8x Combine like terms: -6x + -8x = -14x 16 + -14x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -14x = -4 + 0 16 + -14x = -4 Add '-16' to each side of the equation. 16 + -16 + -14x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -14x = -4 + -16 -14x = -4 + -16 Combine like terms: -4 + -16 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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