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Simplifying 2(x + -4) = 4(x + 7) + -18 Reorder the terms: 2(-4 + x) = 4(x + 7) + -18 (-4 * 2 + x * 2) = 4(x + 7) + -18 (-8 + 2x) = 4(x + 7) + -18 Reorder the terms: -8 + 2x = 4(7 + x) + -18 -8 + 2x = (7 * 4 + x * 4) + -18 -8 + 2x = (28 + 4x) + -18 Reorder the terms: -8 + 2x = 28 + -18 + 4x Combine like terms: 28 + -18 = 10 -8 + 2x = 10 + 4x Solving -8 + 2x = 10 + 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. -8 + 2x + -4x = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = 10 + 0 -8 + -2x = 10 Add '8' to each side of the equation. -8 + 8 + -2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 10 + 8 -2x = 10 + 8 Combine like terms: 10 + 8 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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