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Simplifying 4 + 5(3x + -1x) = 4(8 + 2x) Combine like terms: 3x + -1x = 2x 4 + 5(2x) = 4(8 + 2x) Remove parenthesis around (2x) 4 + 5 * 2x = 4(8 + 2x) Multiply 5 * 2 4 + 10x = 4(8 + 2x) 4 + 10x = (8 * 4 + 2x * 4) 4 + 10x = (32 + 8x) Solving 4 + 10x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 10x + -8x = 32 + 8x + -8x Combine like terms: 10x + -8x = 2x 4 + 2x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 2x = 32 + 0 4 + 2x = 32 Add '-4' to each side of the equation. 4 + -4 + 2x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 32 + -4 2x = 32 + -4 Combine like terms: 32 + -4 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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