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Simplifying 12.95 + 0.12(x + 3) = 13.45 + -0.15x Reorder the terms: 12.95 + 0.12(3 + x) = 13.45 + -0.15x 12.95 + (3 * 0.12 + x * 0.12) = 13.45 + -0.15x 12.95 + (0.36 + 0.12x) = 13.45 + -0.15x Combine like terms: 12.95 + 0.36 = 13.31 13.31 + 0.12x = 13.45 + -0.15x Solving 13.31 + 0.12x = 13.45 + -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. 13.31 + 0.12x + 0.15x = 13.45 + -0.15x + 0.15x Combine like terms: 0.12x + 0.15x = 0.27x 13.31 + 0.27x = 13.45 + -0.15x + 0.15x Combine like terms: -0.15x + 0.15x = 0.00 13.31 + 0.27x = 13.45 + 0.00 13.31 + 0.27x = 13.45 Add '-13.31' to each side of the equation. 13.31 + -13.31 + 0.27x = 13.45 + -13.31 Combine like terms: 13.31 + -13.31 = 0.00 0.00 + 0.27x = 13.45 + -13.31 0.27x = 13.45 + -13.31 Combine like terms: 13.45 + -13.31 = 0.14 0.27x = 0.14 Divide each side by '0.27'. x = 0.5185185185 Simplifying x = 0.5185185185
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