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Simplifying 0.12x + 0.5(x + -3) = 0.01(3x + -4) Reorder the terms: 0.12x + 0.5(-3 + x) = 0.01(3x + -4) 0.12x + (-3 * 0.5 + x * 0.5) = 0.01(3x + -4) 0.12x + (-1.5 + 0.5x) = 0.01(3x + -4) Reorder the terms: -1.5 + 0.12x + 0.5x = 0.01(3x + -4) Combine like terms: 0.12x + 0.5x = 0.62x -1.5 + 0.62x = 0.01(3x + -4) Reorder the terms: -1.5 + 0.62x = 0.01(-4 + 3x) -1.5 + 0.62x = (-4 * 0.01 + 3x * 0.01) -1.5 + 0.62x = (-0.04 + 0.03x) Solving -1.5 + 0.62x = -0.04 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1.5 + 0.62x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.62x + -0.03x = 0.59x -1.5 + 0.59x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.5 + 0.59x = -0.04 + 0.00 -1.5 + 0.59x = -0.04 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.59x = -0.04 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.59x = -0.04 + 1.5 0.59x = -0.04 + 1.5 Combine like terms: -0.04 + 1.5 = 1.46 0.59x = 1.46 Divide each side by '0.59'. x = 2.474576271 Simplifying x = 2.474576271
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