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Simplifying 2.6(x + 1) = 1.8(2x + 1) Reorder the terms: 2.6(1 + x) = 1.8(2x + 1) (1 * 2.6 + x * 2.6) = 1.8(2x + 1) (2.6 + 2.6x) = 1.8(2x + 1) Reorder the terms: 2.6 + 2.6x = 1.8(1 + 2x) 2.6 + 2.6x = (1 * 1.8 + 2x * 1.8) 2.6 + 2.6x = (1.8 + 3.6x) Solving 2.6 + 2.6x = 1.8 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 2.6 + 2.6x + -3.6x = 1.8 + 3.6x + -3.6x Combine like terms: 2.6x + -3.6x = -1x 2.6 + -1x = 1.8 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 2.6 + -1x = 1.8 + 0.0 2.6 + -1x = 1.8 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -1x = 1.8 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -1x = 1.8 + -2.6 -1x = 1.8 + -2.6 Combine like terms: 1.8 + -2.6 = -0.8 -1x = -0.8 Divide each side by '-1'. x = 0.8 Simplifying x = 0.8
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