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Simplifying 1x + -2 + -2.1(x + 2) = 3(x + 1.5) Reorder the terms: 1x + -2 + -2.1(2 + x) = 3(x + 1.5) 1x + -2 + (2 * -2.1 + x * -2.1) = 3(x + 1.5) 1x + -2 + (-4.2 + -2.1x) = 3(x + 1.5) Reorder the terms: -2 + -4.2 + 1x + -2.1x = 3(x + 1.5) Combine like terms: -2 + -4.2 = -6.2 -6.2 + 1x + -2.1x = 3(x + 1.5) Combine like terms: 1x + -2.1x = -1.1x -6.2 + -1.1x = 3(x + 1.5) Reorder the terms: -6.2 + -1.1x = 3(1.5 + x) -6.2 + -1.1x = (1.5 * 3 + x * 3) -6.2 + -1.1x = (4.5 + 3x) Solving -6.2 + -1.1x = 4.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6.2 + -1.1x + -3x = 4.5 + 3x + -3x Combine like terms: -1.1x + -3x = -4.1x -6.2 + -4.1x = 4.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -6.2 + -4.1x = 4.5 + 0 -6.2 + -4.1x = 4.5 Add '6.2' to each side of the equation. -6.2 + 6.2 + -4.1x = 4.5 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + -4.1x = 4.5 + 6.2 -4.1x = 4.5 + 6.2 Combine like terms: 4.5 + 6.2 = 10.7 -4.1x = 10.7 Divide each side by '-4.1'. x = -2.609756098 Simplifying x = -2.609756098
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