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Simplifying 2(x + -3) + 4(2x + -2) = 4(3 + -7x) Reorder the terms: 2(-3 + x) + 4(2x + -2) = 4(3 + -7x) (-3 * 2 + x * 2) + 4(2x + -2) = 4(3 + -7x) (-6 + 2x) + 4(2x + -2) = 4(3 + -7x) Reorder the terms: -6 + 2x + 4(-2 + 2x) = 4(3 + -7x) -6 + 2x + (-2 * 4 + 2x * 4) = 4(3 + -7x) -6 + 2x + (-8 + 8x) = 4(3 + -7x) Reorder the terms: -6 + -8 + 2x + 8x = 4(3 + -7x) Combine like terms: -6 + -8 = -14 -14 + 2x + 8x = 4(3 + -7x) Combine like terms: 2x + 8x = 10x -14 + 10x = 4(3 + -7x) -14 + 10x = (3 * 4 + -7x * 4) -14 + 10x = (12 + -28x) Solving -14 + 10x = 12 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -14 + 10x + 28x = 12 + -28x + 28x Combine like terms: 10x + 28x = 38x -14 + 38x = 12 + -28x + 28x Combine like terms: -28x + 28x = 0 -14 + 38x = 12 + 0 -14 + 38x = 12 Add '14' to each side of the equation. -14 + 14 + 38x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 38x = 12 + 14 38x = 12 + 14 Combine like terms: 12 + 14 = 26 38x = 26 Divide each side by '38'. x = 0.6842105263 Simplifying x = 0.6842105263
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