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Simplifying 4(x + 4) = x(3 + -2) + 34 Reorder the terms: 4(4 + x) = x(3 + -2) + 34 (4 * 4 + x * 4) = x(3 + -2) + 34 (16 + 4x) = x(3 + -2) + 34 Combine like terms: 3 + -2 = 1 16 + 4x = x(1) + 34 Reorder the terms for easier multiplication: 16 + 4x = 1x + 34 Reorder the terms: 16 + 4x = 34 + 1x Solving 16 + 4x = 34 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + 4x + -1x = 34 + 1x + -1x Combine like terms: 4x + -1x = 3x 16 + 3x = 34 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + 3x = 34 + 0 16 + 3x = 34 Add '-16' to each side of the equation. 16 + -16 + 3x = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 34 + -16 3x = 34 + -16 Combine like terms: 34 + -16 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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