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Simplifying 0.03(x + -5) + 0.07(2x + 3) = 0.11(12) Reorder the terms: 0.03(-5 + x) + 0.07(2x + 3) = 0.11(12) (-5 * 0.03 + x * 0.03) + 0.07(2x + 3) = 0.11(12) (-0.15 + 0.03x) + 0.07(2x + 3) = 0.11(12) Reorder the terms: -0.15 + 0.03x + 0.07(3 + 2x) = 0.11(12) -0.15 + 0.03x + (3 * 0.07 + 2x * 0.07) = 0.11(12) -0.15 + 0.03x + (0.21 + 0.14x) = 0.11(12) Reorder the terms: -0.15 + 0.21 + 0.03x + 0.14x = 0.11(12) Combine like terms: -0.15 + 0.21 = 0.06 0.06 + 0.03x + 0.14x = 0.11(12) Combine like terms: 0.03x + 0.14x = 0.17x 0.06 + 0.17x = 0.11(12) Multiply 0.11 * 12 0.06 + 0.17x = 1.32 Solving 0.06 + 0.17x = 1.32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06' to each side of the equation. 0.06 + -0.06 + 0.17x = 1.32 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.17x = 1.32 + -0.06 0.17x = 1.32 + -0.06 Combine like terms: 1.32 + -0.06 = 1.26 0.17x = 1.26 Divide each side by '0.17'. x = 7.411764706 Simplifying x = 7.411764706
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