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Simplifying 13.72 + 0.08(x + 3) = 14.22 + -0.15x Reorder the terms: 13.72 + 0.08(3 + x) = 14.22 + -0.15x 13.72 + (3 * 0.08 + x * 0.08) = 14.22 + -0.15x 13.72 + (0.24 + 0.08x) = 14.22 + -0.15x Combine like terms: 13.72 + 0.24 = 13.96 13.96 + 0.08x = 14.22 + -0.15x Solving 13.96 + 0.08x = 14.22 + -0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15x' to each side of the equation. 13.96 + 0.08x + 0.15x = 14.22 + -0.15x + 0.15x Combine like terms: 0.08x + 0.15x = 0.23x 13.96 + 0.23x = 14.22 + -0.15x + 0.15x Combine like terms: -0.15x + 0.15x = 0.00 13.96 + 0.23x = 14.22 + 0.00 13.96 + 0.23x = 14.22 Add '-13.96' to each side of the equation. 13.96 + -13.96 + 0.23x = 14.22 + -13.96 Combine like terms: 13.96 + -13.96 = 0.00 0.00 + 0.23x = 14.22 + -13.96 0.23x = 14.22 + -13.96 Combine like terms: 14.22 + -13.96 = 0.26 0.23x = 0.26 Divide each side by '0.23'. x = 1.130434783 Simplifying x = 1.130434783
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