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Simplifying 0.11x + 0.4(x + -4) = 0.01(4x + -3) Reorder the terms: 0.11x + 0.4(-4 + x) = 0.01(4x + -3) 0.11x + (-4 * 0.4 + x * 0.4) = 0.01(4x + -3) 0.11x + (-1.6 + 0.4x) = 0.01(4x + -3) Reorder the terms: -1.6 + 0.11x + 0.4x = 0.01(4x + -3) Combine like terms: 0.11x + 0.4x = 0.51x -1.6 + 0.51x = 0.01(4x + -3) Reorder the terms: -1.6 + 0.51x = 0.01(-3 + 4x) -1.6 + 0.51x = (-3 * 0.01 + 4x * 0.01) -1.6 + 0.51x = (-0.03 + 0.04x) Solving -1.6 + 0.51x = -0.03 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -1.6 + 0.51x + -0.04x = -0.03 + 0.04x + -0.04x Combine like terms: 0.51x + -0.04x = 0.47x -1.6 + 0.47x = -0.03 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -1.6 + 0.47x = -0.03 + 0.00 -1.6 + 0.47x = -0.03 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.47x = -0.03 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.47x = -0.03 + 1.6 0.47x = -0.03 + 1.6 Combine like terms: -0.03 + 1.6 = 1.57 0.47x = 1.57 Divide each side by '0.47'. x = 3.340425532 Simplifying x = 3.340425532
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