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Simplifying 15.19 + 0.12(x + 3) = 15.94 + -0.08x Reorder the terms: 15.19 + 0.12(3 + x) = 15.94 + -0.08x 15.19 + (3 * 0.12 + x * 0.12) = 15.94 + -0.08x 15.19 + (0.36 + 0.12x) = 15.94 + -0.08x Combine like terms: 15.19 + 0.36 = 15.55 15.55 + 0.12x = 15.94 + -0.08x Solving 15.55 + 0.12x = 15.94 + -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. 15.55 + 0.12x + 0.08x = 15.94 + -0.08x + 0.08x Combine like terms: 0.12x + 0.08x = 0.2x 15.55 + 0.2x = 15.94 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 15.55 + 0.2x = 15.94 + 0.00 15.55 + 0.2x = 15.94 Add '-15.55' to each side of the equation. 15.55 + -15.55 + 0.2x = 15.94 + -15.55 Combine like terms: 15.55 + -15.55 = 0.00 0.00 + 0.2x = 15.94 + -15.55 0.2x = 15.94 + -15.55 Combine like terms: 15.94 + -15.55 = 0.39 0.2x = 0.39 Divide each side by '0.2'. x = 1.95 Simplifying x = 1.95
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