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Simplifying 0.17x + 0.9(x + -2) = 0.01(4x + -3) Reorder the terms: 0.17x + 0.9(-2 + x) = 0.01(4x + -3) 0.17x + (-2 * 0.9 + x * 0.9) = 0.01(4x + -3) 0.17x + (-1.8 + 0.9x) = 0.01(4x + -3) Reorder the terms: -1.8 + 0.17x + 0.9x = 0.01(4x + -3) Combine like terms: 0.17x + 0.9x = 1.07x -1.8 + 1.07x = 0.01(4x + -3) Reorder the terms: -1.8 + 1.07x = 0.01(-3 + 4x) -1.8 + 1.07x = (-3 * 0.01 + 4x * 0.01) -1.8 + 1.07x = (-0.03 + 0.04x) Solving -1.8 + 1.07x = -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. -1.8 + 1.07x + -0.04x = -0.03 + 0.04x + -0.04x Combine like terms: 1.07x + -0.04x = 1.03x -1.8 + 1.03x = -0.03 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -1.8 + 1.03x = -0.03 + 0.00 -1.8 + 1.03x = -0.03 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1.03x = -0.03 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1.03x = -0.03 + 1.8 1.03x = -0.03 + 1.8 Combine like terms: -0.03 + 1.8 = 1.77 1.03x = 1.77 Divide each side by '1.03'. x = 1.718446602 Simplifying x = 1.718446602
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