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Simplifying 4(x + 4) = 7x + 10 Reorder the terms: 4(4 + x) = 7x + 10 (4 * 4 + x * 4) = 7x + 10 (16 + 4x) = 7x + 10 Reorder the terms: 16 + 4x = 10 + 7x Solving 16 + 4x = 10 + 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 = 10 + 7x + -7x Combine like terms: 4x + -7x = -3x 16 + -3x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -3x = 10 + 0 16 + -3x = 10 Add '-16' to each side of the equation. 16 + -16 + -3x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 10 + -16 -3x = 10 + -16 Combine like terms: 10 + -16 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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