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Simplifying 1(x + -2) + -4.5 = 2.1(x + -1) Reorder the terms: 1(-2 + x) + -4.5 = 2.1(x + -1) (-2 * 1 + x * 1) + -4.5 = 2.1(x + -1) (-2 + 1x) + -4.5 = 2.1(x + -1) Reorder the terms: -2 + -4.5 + 1x = 2.1(x + -1) Combine like terms: -2 + -4.5 = -6.5 -6.5 + 1x = 2.1(x + -1) Reorder the terms: -6.5 + 1x = 2.1(-1 + x) -6.5 + 1x = (-1 * 2.1 + x * 2.1) -6.5 + 1x = (-2.1 + 2.1x) Solving -6.5 + 1x = -2.1 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. -6.5 + 1x + -2.1x = -2.1 + 2.1x + -2.1x Combine like terms: 1x + -2.1x = -1.1x -6.5 + -1.1x = -2.1 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 -6.5 + -1.1x = -2.1 + 0.0 -6.5 + -1.1x = -2.1 Add '6.5' to each side of the equation. -6.5 + 6.5 + -1.1x = -2.1 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -1.1x = -2.1 + 6.5 -1.1x = -2.1 + 6.5 Combine like terms: -2.1 + 6.5 = 4.4 -1.1x = 4.4 Divide each side by '-1.1'. x = -4 Simplifying x = -4
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