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Simplifying 13.45 + 0.13 + (x + 3) = 13.95 + -0.08x Reorder the terms: 13.45 + 0.13 + (3 + x) = 13.95 + -0.08x Remove parenthesis around (3 + x) 13.45 + 0.13 + 3 + x = 13.95 + -0.08x Combine like terms: 13.45 + 0.13 = 13.58 13.58 + 3 + x = 13.95 + -0.08x Combine like terms: 13.58 + 3 = 16.58 16.58 + x = 13.95 + -0.08x Solving 16.58 + x = 13.95 + -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. 16.58 + x + 0.08x = 13.95 + -0.08x + 0.08x Combine like terms: x + 0.08x = 1.08x 16.58 + 1.08x = 13.95 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 16.58 + 1.08x = 13.95 + 0.00 16.58 + 1.08x = 13.95 Add '-16.58' to each side of the equation. 16.58 + -16.58 + 1.08x = 13.95 + -16.58 Combine like terms: 16.58 + -16.58 = 0.00 0.00 + 1.08x = 13.95 + -16.58 1.08x = 13.95 + -16.58 Combine like terms: 13.95 + -16.58 = -2.63 1.08x = -2.63 Divide each side by '1.08'. x = -2.435185185 Simplifying x = -2.435185185
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