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Simplifying 0.17x + 0.04(x + -5) = 0.01(4x + -3) Reorder the terms: 0.17x + 0.04(-5 + x) = 0.01(4x + -3) 0.17x + (-5 * 0.04 + x * 0.04) = 0.01(4x + -3) 0.17x + (-0.2 + 0.04x) = 0.01(4x + -3) Reorder the terms: -0.2 + 0.17x + 0.04x = 0.01(4x + -3) Combine like terms: 0.17x + 0.04x = 0.21x -0.2 + 0.21x = 0.01(4x + -3) Reorder the terms: -0.2 + 0.21x = 0.01(-3 + 4x) -0.2 + 0.21x = (-3 * 0.01 + 4x * 0.01) -0.2 + 0.21x = (-0.03 + 0.04x) Solving -0.2 + 0.21x = -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. -0.2 + 0.21x + -0.04x = -0.03 + 0.04x + -0.04x Combine like terms: 0.21x + -0.04x = 0.17x -0.2 + 0.17x = -0.03 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.2 + 0.17x = -0.03 + 0.00 -0.2 + 0.17x = -0.03 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.17x = -0.03 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.17x = -0.03 + 0.2 0.17x = -0.03 + 0.2 Combine like terms: -0.03 + 0.2 = 0.17 0.17x = 0.17 Divide each side by '0.17'. x = 1 Simplifying x = 1
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