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Simplifying 0.45 = x(0.15) + (-2)(1 + -1x) Reorder the terms for easier multiplication: 0.45 = 0.15x + (-2)(1 + -1x) 0.45 = 0.15x + (1 * -2 + -1x * -2) 0.45 = 0.15x + (-2 + 2x) Reorder the terms: 0.45 = -2 + 0.15x + 2x Combine like terms: 0.15x + 2x = 2.15x 0.45 = -2 + 2.15x Solving 0.45 = -2 + 2.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.15x' to each side of the equation. 0.45 + -2.15x = -2 + 2.15x + -2.15x Combine like terms: 2.15x + -2.15x = 0.00 0.45 + -2.15x = -2 + 0.00 0.45 + -2.15x = -2 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -2.15x = -2 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -2.15x = -2 + -0.45 -2.15x = -2 + -0.45 Combine like terms: -2 + -0.45 = -2.45 -2.15x = -2.45 Divide each side by '-2.15'. x = 1.139534884 Simplifying x = 1.139534884
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