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Simplifying 0.111(18x + 27) = 1 + x + -4 + -3x Reorder the terms: 0.111(27 + 18x) = 1 + x + -4 + -3x (27 * 0.111 + 18x * 0.111) = 1 + x + -4 + -3x (2.997 + 1.998x) = 1 + x + -4 + -3x Reorder the terms: 2.997 + 1.998x = 1 + -4 + x + -3x Combine like terms: 1 + -4 = -3 2.997 + 1.998x = -3 + x + -3x Combine like terms: x + -3x = -2x 2.997 + 1.998x = -3 + -2x Solving 2.997 + 1.998x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2.997 + 1.998x + 2x = -3 + -2x + 2x Combine like terms: 1.998x + 2x = 3.998x 2.997 + 3.998x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 2.997 + 3.998x = -3 + 0 2.997 + 3.998x = -3 Add '-2.997' to each side of the equation. 2.997 + -2.997 + 3.998x = -3 + -2.997 Combine like terms: 2.997 + -2.997 = 0.000 0.000 + 3.998x = -3 + -2.997 3.998x = -3 + -2.997 Combine like terms: -3 + -2.997 = -5.997 3.998x = -5.997 Divide each side by '3.998'. x = -1.5 Simplifying x = -1.5
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