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Simplifying 6(2) + 2.5x = 4.5(2 + x) Multiply 6 * 2 12 + 2.5x = 4.5(2 + x) 12 + 2.5x = (2 * 4.5 + x * 4.5) 12 + 2.5x = (9 + 4.5x) Solving 12 + 2.5x = 9 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 12 + 2.5x + -4.5x = 9 + 4.5x + -4.5x Combine like terms: 2.5x + -4.5x = -2x 12 + -2x = 9 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 12 + -2x = 9 + 0.0 12 + -2x = 9 Add '-12' to each side of the equation. 12 + -12 + -2x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 9 + -12 -2x = 9 + -12 Combine like terms: 9 + -12 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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