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Simplifying 2x + 4(x + -3) + 2(x + -4) = x + 6 Reorder the terms: 2x + 4(-3 + x) + 2(x + -4) = x + 6 2x + (-3 * 4 + x * 4) + 2(x + -4) = x + 6 2x + (-12 + 4x) + 2(x + -4) = x + 6 Reorder the terms: 2x + -12 + 4x + 2(-4 + x) = x + 6 2x + -12 + 4x + (-4 * 2 + x * 2) = x + 6 2x + -12 + 4x + (-8 + 2x) = x + 6 Reorder the terms: -12 + -8 + 2x + 4x + 2x = x + 6 Combine like terms: -12 + -8 = -20 -20 + 2x + 4x + 2x = x + 6 Combine like terms: 2x + 4x = 6x -20 + 6x + 2x = x + 6 Combine like terms: 6x + 2x = 8x -20 + 8x = x + 6 Reorder the terms: -20 + 8x = 6 + x Solving -20 + 8x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 8x + -1x = 6 + x + -1x Combine like terms: 8x + -1x = 7x -20 + 7x = 6 + x + -1x Combine like terms: x + -1x = 0 -20 + 7x = 6 + 0 -20 + 7x = 6 Add '20' to each side of the equation. -20 + 20 + 7x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 6 + 20 7x = 6 + 20 Combine like terms: 6 + 20 = 26 7x = 26 Divide each side by '7'. x = 3.714285714 Simplifying x = 3.714285714
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