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