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Simplifying -2(1x + -4) = 7(1x + -4) Reorder the terms: -2(-4 + 1x) = 7(1x + -4) (-4 * -2 + 1x * -2) = 7(1x + -4) (8 + -2x) = 7(1x + -4) Reorder the terms: 8 + -2x = 7(-4 + 1x) 8 + -2x = (-4 * 7 + 1x * 7) 8 + -2x = (-28 + 7x) Solving 8 + -2x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + -2x + -7x = -28 + 7x + -7x Combine like terms: -2x + -7x = -9x 8 + -9x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -9x = -28 + 0 8 + -9x = -28 Add '-8' to each side of the equation. 8 + -8 + -9x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -28 + -8 -9x = -28 + -8 Combine like terms: -28 + -8 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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