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Simplifying 12.84 + 0.06(x + 3) = 13.59 + -0.07x Reorder the terms: 12.84 + 0.06(3 + x) = 13.59 + -0.07x 12.84 + (3 * 0.06 + x * 0.06) = 13.59 + -0.07x 12.84 + (0.18 + 0.06x) = 13.59 + -0.07x Combine like terms: 12.84 + 0.18 = 13.02 13.02 + 0.06x = 13.59 + -0.07x Solving 13.02 + 0.06x = 13.59 + -0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.07x' to each side of the equation. 13.02 + 0.06x + 0.07x = 13.59 + -0.07x + 0.07x Combine like terms: 0.06x + 0.07x = 0.13x 13.02 + 0.13x = 13.59 + -0.07x + 0.07x Combine like terms: -0.07x + 0.07x = 0.00 13.02 + 0.13x = 13.59 + 0.00 13.02 + 0.13x = 13.59 Add '-13.02' to each side of the equation. 13.02 + -13.02 + 0.13x = 13.59 + -13.02 Combine like terms: 13.02 + -13.02 = 0.00 0.00 + 0.13x = 13.59 + -13.02 0.13x = 13.59 + -13.02 Combine like terms: 13.59 + -13.02 = 0.57 0.13x = 0.57 Divide each side by '0.13'. x = 4.384615385 Simplifying x = 4.384615385
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