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Simplifying 4x + -2(2x + -8) = 6(2x + -9) + 8x Reorder the terms: 4x + -2(-8 + 2x) = 6(2x + -9) + 8x 4x + (-8 * -2 + 2x * -2) = 6(2x + -9) + 8x 4x + (16 + -4x) = 6(2x + -9) + 8x Reorder the terms: 16 + 4x + -4x = 6(2x + -9) + 8x Combine like terms: 4x + -4x = 0 16 + 0 = 6(2x + -9) + 8x 16 = 6(2x + -9) + 8x Reorder the terms: 16 = 6(-9 + 2x) + 8x 16 = (-9 * 6 + 2x * 6) + 8x 16 = (-54 + 12x) + 8x Combine like terms: 12x + 8x = 20x 16 = -54 + 20x Solving 16 = -54 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 16 + -20x = -54 + 20x + -20x Combine like terms: 20x + -20x = 0 16 + -20x = -54 + 0 16 + -20x = -54 Add '-16' to each side of the equation. 16 + -16 + -20x = -54 + -16 Combine like terms: 16 + -16 = 0 0 + -20x = -54 + -16 -20x = -54 + -16 Combine like terms: -54 + -16 = -70 -20x = -70 Divide each side by '-20'. x = 3.5 Simplifying x = 3.5
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