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Simplifying 13.33 + 0.12(x + 3) = 14.08 + -0.08x Reorder the terms: 13.33 + 0.12(3 + x) = 14.08 + -0.08x 13.33 + (3 * 0.12 + x * 0.12) = 14.08 + -0.08x 13.33 + (0.36 + 0.12x) = 14.08 + -0.08x Combine like terms: 13.33 + 0.36 = 13.69 13.69 + 0.12x = 14.08 + -0.08x Solving 13.69 + 0.12x = 14.08 + -0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08x' to each side of the equation. 13.69 + 0.12x + 0.08x = 14.08 + -0.08x + 0.08x Combine like terms: 0.12x + 0.08x = 0.2x 13.69 + 0.2x = 14.08 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 13.69 + 0.2x = 14.08 + 0.00 13.69 + 0.2x = 14.08 Add '-13.69' to each side of the equation. 13.69 + -13.69 + 0.2x = 14.08 + -13.69 Combine like terms: 13.69 + -13.69 = 0.00 0.00 + 0.2x = 14.08 + -13.69 0.2x = 14.08 + -13.69 Combine like terms: 14.08 + -13.69 = 0.39 0.2x = 0.39 Divide each side by '0.2'. x = 1.95 Simplifying x = 1.95
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