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Simplifying 0.66(3x + 14) + -2x = 0.33(3x + -6) + -15 Reorder the terms: 0.66(14 + 3x) + -2x = 0.33(3x + -6) + -15 (14 * 0.66 + 3x * 0.66) + -2x = 0.33(3x + -6) + -15 (9.24 + 1.98x) + -2x = 0.33(3x + -6) + -15 Combine like terms: 1.98x + -2x = -0.02x 9.24 + -0.02x = 0.33(3x + -6) + -15 Reorder the terms: 9.24 + -0.02x = 0.33(-6 + 3x) + -15 9.24 + -0.02x = (-6 * 0.33 + 3x * 0.33) + -15 9.24 + -0.02x = (-1.98 + 0.99x) + -15 Reorder the terms: 9.24 + -0.02x = -1.98 + -15 + 0.99x Combine like terms: -1.98 + -15 = -16.98 9.24 + -0.02x = -16.98 + 0.99x Solving 9.24 + -0.02x = -16.98 + 0.99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.99x' to each side of the equation. 9.24 + -0.02x + -0.99x = -16.98 + 0.99x + -0.99x Combine like terms: -0.02x + -0.99x = -1.01x 9.24 + -1.01x = -16.98 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 9.24 + -1.01x = -16.98 + 0.00 9.24 + -1.01x = -16.98 Add '-9.24' to each side of the equation. 9.24 + -9.24 + -1.01x = -16.98 + -9.24 Combine like terms: 9.24 + -9.24 = 0.00 0.00 + -1.01x = -16.98 + -9.24 -1.01x = -16.98 + -9.24 Combine like terms: -16.98 + -9.24 = -26.22 -1.01x = -26.22 Divide each side by '-1.01'. x = 25.96039604 Simplifying x = 25.96039604
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