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Simplifying 0.9x + -2.1 + 0.9 = 0.3(5 + -1x) Reorder the terms: -2.1 + 0.9 + 0.9x = 0.3(5 + -1x) Combine like terms: -2.1 + 0.9 = -1.2 -1.2 + 0.9x = 0.3(5 + -1x) -1.2 + 0.9x = (5 * 0.3 + -1x * 0.3) -1.2 + 0.9x = (1.5 + -0.3x) Solving -1.2 + 0.9x = 1.5 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -1.2 + 0.9x + 0.3x = 1.5 + -0.3x + 0.3x Combine like terms: 0.9x + 0.3x = 1.2x -1.2 + 1.2x = 1.5 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -1.2 + 1.2x = 1.5 + 0.0 -1.2 + 1.2x = 1.5 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.2x = 1.5 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.2x = 1.5 + 1.2 1.2x = 1.5 + 1.2 Combine like terms: 1.5 + 1.2 = 2.7 1.2x = 2.7 Divide each side by '1.2'. x = 2.25 Simplifying x = 2.25
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