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Simplifying 0.19x + 0.3(x + -5) = 0.01(3x + -2) Reorder the terms: 0.19x + 0.3(-5 + x) = 0.01(3x + -2) 0.19x + (-5 * 0.3 + x * 0.3) = 0.01(3x + -2) 0.19x + (-1.5 + 0.3x) = 0.01(3x + -2) Reorder the terms: -1.5 + 0.19x + 0.3x = 0.01(3x + -2) Combine like terms: 0.19x + 0.3x = 0.49x -1.5 + 0.49x = 0.01(3x + -2) Reorder the terms: -1.5 + 0.49x = 0.01(-2 + 3x) -1.5 + 0.49x = (-2 * 0.01 + 3x * 0.01) -1.5 + 0.49x = (-0.02 + 0.03x) Solving -1.5 + 0.49x = -0.02 + 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 + 0.49x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.49x + -0.03x = 0.46x -1.5 + 0.46x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.5 + 0.46x = -0.02 + 0.00 -1.5 + 0.46x = -0.02 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.46x = -0.02 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.46x = -0.02 + 1.5 0.46x = -0.02 + 1.5 Combine like terms: -0.02 + 1.5 = 1.48 0.46x = 1.48 Divide each side by '0.46'. x = 3.217391304 Simplifying x = 3.217391304
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