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Simplifying 0.04(x + -1(-5)) + -0.05(3x + -8) = 0 Multiply -1 * -5 0.04(x + 5) + -0.05(3x + -8) = 0 Reorder the terms: 0.04(5 + x) + -0.05(3x + -8) = 0 (5 * 0.04 + x * 0.04) + -0.05(3x + -8) = 0 (0.2 + 0.04x) + -0.05(3x + -8) = 0 Reorder the terms: 0.2 + 0.04x + -0.05(-8 + 3x) = 0 0.2 + 0.04x + (-8 * -0.05 + 3x * -0.05) = 0 0.2 + 0.04x + (0.4 + -0.15x) = 0 Reorder the terms: 0.2 + 0.4 + 0.04x + -0.15x = 0 Combine like terms: 0.2 + 0.4 = 0.6 0.6 + 0.04x + -0.15x = 0 Combine like terms: 0.04x + -0.15x = -0.11x 0.6 + -0.11x = 0 Solving 0.6 + -0.11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.11x = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.11x = 0 + -0.6 -0.11x = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -0.11x = -0.6 Divide each side by '-0.11'. x = 5.454545455 Simplifying x = 5.454545455
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