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Simplifying 4(x + 2) = 7(x + -4) Reorder the terms: 4(2 + x) = 7(x + -4) (2 * 4 + x * 4) = 7(x + -4) (8 + 4x) = 7(x + -4) Reorder the terms: 8 + 4x = 7(-4 + x) 8 + 4x = (-4 * 7 + x * 7) 8 + 4x = (-28 + 7x) Solving 8 + 4x = -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 + 4x + -7x = -28 + 7x + -7x Combine like terms: 4x + -7x = -3x 8 + -3x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -3x = -28 + 0 8 + -3x = -28 Add '-8' to each side of the equation. 8 + -8 + -3x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -28 + -8 -3x = -28 + -8 Combine like terms: -28 + -8 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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