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Simplifying 0.08x + 0.06(x + 9) = 1.24 + 2.3x Reorder the terms: 0.08x + 0.06(9 + x) = 1.24 + 2.3x 0.08x + (9 * 0.06 + x * 0.06) = 1.24 + 2.3x 0.08x + (0.54 + 0.06x) = 1.24 + 2.3x Reorder the terms: 0.54 + 0.08x + 0.06x = 1.24 + 2.3x Combine like terms: 0.08x + 0.06x = 0.14x 0.54 + 0.14x = 1.24 + 2.3x Solving 0.54 + 0.14x = 1.24 + 2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.3x' to each side of the equation. 0.54 + 0.14x + -2.3x = 1.24 + 2.3x + -2.3x Combine like terms: 0.14x + -2.3x = -2.16x 0.54 + -2.16x = 1.24 + 2.3x + -2.3x Combine like terms: 2.3x + -2.3x = 0.0 0.54 + -2.16x = 1.24 + 0.0 0.54 + -2.16x = 1.24 Add '-0.54' to each side of the equation. 0.54 + -0.54 + -2.16x = 1.24 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + -2.16x = 1.24 + -0.54 -2.16x = 1.24 + -0.54 Combine like terms: 1.24 + -0.54 = 0.7 -2.16x = 0.7 Divide each side by '-2.16'. x = -0.3240740741 Simplifying x = -0.3240740741
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