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Simplifying 0.33(x + 3) + 0.16(x + -6) = x + 3 Reorder the terms: 0.33(3 + x) + 0.16(x + -6) = x + 3 (3 * 0.33 + x * 0.33) + 0.16(x + -6) = x + 3 (0.99 + 0.33x) + 0.16(x + -6) = x + 3 Reorder the terms: 0.99 + 0.33x + 0.16(-6 + x) = x + 3 0.99 + 0.33x + (-6 * 0.16 + x * 0.16) = x + 3 0.99 + 0.33x + (-0.96 + 0.16x) = x + 3 Reorder the terms: 0.99 + -0.96 + 0.33x + 0.16x = x + 3 Combine like terms: 0.99 + -0.96 = 0.03 0.03 + 0.33x + 0.16x = x + 3 Combine like terms: 0.33x + 0.16x = 0.49x 0.03 + 0.49x = x + 3 Reorder the terms: 0.03 + 0.49x = 3 + x Solving 0.03 + 0.49x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.03 + 0.49x + -1x = 3 + x + -1x Combine like terms: 0.49x + -1x = -0.51x 0.03 + -0.51x = 3 + x + -1x Combine like terms: x + -1x = 0 0.03 + -0.51x = 3 + 0 0.03 + -0.51x = 3 Add '-0.03' to each side of the equation. 0.03 + -0.03 + -0.51x = 3 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + -0.51x = 3 + -0.03 -0.51x = 3 + -0.03 Combine like terms: 3 + -0.03 = 2.97 -0.51x = 2.97 Divide each side by '-0.51'. x = -5.823529412 Simplifying x = -5.823529412
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