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Simplifying 4(x + 4) = 7(2x + -2) Reorder the terms: 4(4 + x) = 7(2x + -2) (4 * 4 + x * 4) = 7(2x + -2) (16 + 4x) = 7(2x + -2) Reorder the terms: 16 + 4x = 7(-2 + 2x) 16 + 4x = (-2 * 7 + 2x * 7) 16 + 4x = (-14 + 14x) Solving 16 + 4x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 16 + 4x + -14x = -14 + 14x + -14x Combine like terms: 4x + -14x = -10x 16 + -10x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 16 + -10x = -14 + 0 16 + -10x = -14 Add '-16' to each side of the equation. 16 + -16 + -10x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -14 + -16 -10x = -14 + -16 Combine like terms: -14 + -16 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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