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Simplifying 45(3) + 2x = 2.60(45 + x) Multiply 45 * 3 135 + 2x = 2.60(45 + x) 135 + 2x = (45 * 2.60 + x * 2.60) 135 + 2x = (117 + 2.60x) Solving 135 + 2x = 117 + 2.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.60x' to each side of the equation. 135 + 2x + -2.60x = 117 + 2.60x + -2.60x Combine like terms: 2x + -2.60x = -0.6x 135 + -0.6x = 117 + 2.60x + -2.60x Combine like terms: 2.60x + -2.60x = 0.00 135 + -0.6x = 117 + 0.00 135 + -0.6x = 117 Add '-135' to each side of the equation. 135 + -135 + -0.6x = 117 + -135 Combine like terms: 135 + -135 = 0 0 + -0.6x = 117 + -135 -0.6x = 117 + -135 Combine like terms: 117 + -135 = -18 -0.6x = -18 Divide each side by '-0.6'. x = 30 Simplifying x = 30
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