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Simplifying 0.50(x + 3) + -0.67(x + -2) = 3 Reorder the terms: 0.50(3 + x) + -0.67(x + -2) = 3 (3 * 0.50 + x * 0.50) + -0.67(x + -2) = 3 (1.5 + 0.50x) + -0.67(x + -2) = 3 Reorder the terms: 1.5 + 0.50x + -0.67(-2 + x) = 3 1.5 + 0.50x + (-2 * -0.67 + x * -0.67) = 3 1.5 + 0.50x + (1.34 + -0.67x) = 3 Reorder the terms: 1.5 + 1.34 + 0.50x + -0.67x = 3 Combine like terms: 1.5 + 1.34 = 2.84 2.84 + 0.50x + -0.67x = 3 Combine like terms: 0.50x + -0.67x = -0.17x 2.84 + -0.17x = 3 Solving 2.84 + -0.17x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.84' to each side of the equation. 2.84 + -2.84 + -0.17x = 3 + -2.84 Combine like terms: 2.84 + -2.84 = 0.00 0.00 + -0.17x = 3 + -2.84 -0.17x = 3 + -2.84 Combine like terms: 3 + -2.84 = 0.16 -0.17x = 0.16 Divide each side by '-0.17'. x = -0.9411764706 Simplifying x = -0.9411764706
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