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Simplifying 2x + 4(2x + -6) = 1x + 1(3x + -8) Reorder the terms: 2x + 4(-6 + 2x) = 1x + 1(3x + -8) 2x + (-6 * 4 + 2x * 4) = 1x + 1(3x + -8) 2x + (-24 + 8x) = 1x + 1(3x + -8) Reorder the terms: -24 + 2x + 8x = 1x + 1(3x + -8) Combine like terms: 2x + 8x = 10x -24 + 10x = 1x + 1(3x + -8) Reorder the terms: -24 + 10x = 1x + 1(-8 + 3x) -24 + 10x = 1x + (-8 * 1 + 3x * 1) -24 + 10x = 1x + (-8 + 3x) Reorder the terms: -24 + 10x = -8 + 1x + 3x Combine like terms: 1x + 3x = 4x -24 + 10x = -8 + 4x Solving -24 + 10x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 10x + -4x = -8 + 4x + -4x Combine like terms: 10x + -4x = 6x -24 + 6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 6x = -8 + 0 -24 + 6x = -8 Add '24' to each side of the equation. -24 + 24 + 6x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = -8 + 24 6x = -8 + 24 Combine like terms: -8 + 24 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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