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Simplifying 0.08(5x + 15) = 2.6 + -1(x + 3) Reorder the terms: 0.08(15 + 5x) = 2.6 + -1(x + 3) (15 * 0.08 + 5x * 0.08) = 2.6 + -1(x + 3) (1.2 + 0.4x) = 2.6 + -1(x + 3) Reorder the terms: 1.2 + 0.4x = 2.6 + -1(3 + x) 1.2 + 0.4x = 2.6 + (3 * -1 + x * -1) 1.2 + 0.4x = 2.6 + (-3 + -1x) Combine like terms: 2.6 + -3 = -0.4 1.2 + 0.4x = -0.4 + -1x Solving 1.2 + 0.4x = -0.4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1.2 + 0.4x + x = -0.4 + -1x + x Combine like terms: 0.4x + x = 1.4x 1.2 + 1.4x = -0.4 + -1x + x Combine like terms: -1x + x = 0 1.2 + 1.4x = -0.4 + 0 1.2 + 1.4x = -0.4 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1.4x = -0.4 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1.4x = -0.4 + -1.2 1.4x = -0.4 + -1.2 Combine like terms: -0.4 + -1.2 = -1.6 1.4x = -1.6 Divide each side by '1.4'. x = -1.142857143 Simplifying x = -1.142857143
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