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Simplifying 0.15x + 0.5(x + -3) = 0.01(2x + -2) Reorder the terms: 0.15x + 0.5(-3 + x) = 0.01(2x + -2) 0.15x + (-3 * 0.5 + x * 0.5) = 0.01(2x + -2) 0.15x + (-1.5 + 0.5x) = 0.01(2x + -2) Reorder the terms: -1.5 + 0.15x + 0.5x = 0.01(2x + -2) Combine like terms: 0.15x + 0.5x = 0.65x -1.5 + 0.65x = 0.01(2x + -2) Reorder the terms: -1.5 + 0.65x = 0.01(-2 + 2x) -1.5 + 0.65x = (-2 * 0.01 + 2x * 0.01) -1.5 + 0.65x = (-0.02 + 0.02x) Solving -1.5 + 0.65x = -0.02 + 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. -1.5 + 0.65x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.65x + -0.02x = 0.63x -1.5 + 0.63x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.5 + 0.63x = -0.02 + 0.00 -1.5 + 0.63x = -0.02 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.63x = -0.02 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.63x = -0.02 + 1.5 0.63x = -0.02 + 1.5 Combine like terms: -0.02 + 1.5 = 1.48 0.63x = 1.48 Divide each side by '0.63'. x = 2.349206349 Simplifying x = 2.349206349
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