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Simplifying 1.8(5x + 15) = 2.6 + -1(x + 3) Reorder the terms: 1.8(15 + 5x) = 2.6 + -1(x + 3) (15 * 1.8 + 5x * 1.8) = 2.6 + -1(x + 3) (27 + 9x) = 2.6 + -1(x + 3) Reorder the terms: 27 + 9x = 2.6 + -1(3 + x) 27 + 9x = 2.6 + (3 * -1 + x * -1) 27 + 9x = 2.6 + (-3 + -1x) Combine like terms: 2.6 + -3 = -0.4 27 + 9x = -0.4 + -1x Solving 27 + 9x = -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. 27 + 9x + x = -0.4 + -1x + x Combine like terms: 9x + x = 10x 27 + 10x = -0.4 + -1x + x Combine like terms: -1x + x = 0 27 + 10x = -0.4 + 0 27 + 10x = -0.4 Add '-27' to each side of the equation. 27 + -27 + 10x = -0.4 + -27 Combine like terms: 27 + -27 = 0 0 + 10x = -0.4 + -27 10x = -0.4 + -27 Combine like terms: -0.4 + -27 = -27.4 10x = -27.4 Divide each side by '10'. x = -2.74 Simplifying x = -2.74
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