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Simplifying 2(7.5) + 2(4x) = 2(12) + 4x + x Multiply 2 * 7.5 15 + 2(4x) = 2(12) + 4x + x Remove parenthesis around (4x) 15 + 2 * 4x = 2(12) + 4x + x Multiply 2 * 4 15 + 8x = 2(12) + 4x + x Multiply 2 * 12 15 + 8x = 24 + 4x + x Combine like terms: 4x + x = 5x 15 + 8x = 24 + 5x Solving 15 + 8x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 8x + -5x = 24 + 5x + -5x Combine like terms: 8x + -5x = 3x 15 + 3x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 3x = 24 + 0 15 + 3x = 24 Add '-15' to each side of the equation. 15 + -15 + 3x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 24 + -15 3x = 24 + -15 Combine like terms: 24 + -15 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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