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Simplifying 4(x + 4) = 7(10 + x) Reorder the terms: 4(4 + x) = 7(10 + x) (4 * 4 + x * 4) = 7(10 + x) (16 + 4x) = 7(10 + x) 16 + 4x = (10 * 7 + x * 7) 16 + 4x = (70 + 7x) Solving 16 + 4x = 70 + 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. 16 + 4x + -7x = 70 + 7x + -7x Combine like terms: 4x + -7x = -3x 16 + -3x = 70 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -3x = 70 + 0 16 + -3x = 70 Add '-16' to each side of the equation. 16 + -16 + -3x = 70 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 70 + -16 -3x = 70 + -16 Combine like terms: 70 + -16 = 54 -3x = 54 Divide each side by '-3'. x = -18 Simplifying x = -18
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