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Simplifying 0.19x + 0.5(x + -4) = 0.01(2x + -1) Reorder the terms: 0.19x + 0.5(-4 + x) = 0.01(2x + -1) 0.19x + (-4 * 0.5 + x * 0.5) = 0.01(2x + -1) 0.19x + (-2 + 0.5x) = 0.01(2x + -1) Reorder the terms: -2 + 0.19x + 0.5x = 0.01(2x + -1) Combine like terms: 0.19x + 0.5x = 0.69x -2 + 0.69x = 0.01(2x + -1) Reorder the terms: -2 + 0.69x = 0.01(-1 + 2x) -2 + 0.69x = (-1 * 0.01 + 2x * 0.01) -2 + 0.69x = (-0.01 + 0.02x) Solving -2 + 0.69x = -0.01 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -2 + 0.69x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.69x + -0.02x = 0.67x -2 + 0.67x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2 + 0.67x = -0.01 + 0.00 -2 + 0.67x = -0.01 Add '2' to each side of the equation. -2 + 2 + 0.67x = -0.01 + 2 Combine like terms: -2 + 2 = 0 0 + 0.67x = -0.01 + 2 0.67x = -0.01 + 2 Combine like terms: -0.01 + 2 = 1.99 0.67x = 1.99 Divide each side by '0.67'. x = 2.970149254 Simplifying x = 2.970149254
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