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Simplifying 0.15x + 0.5(x + -5) = 0.01(4x + -1) Reorder the terms: 0.15x + 0.5(-5 + x) = 0.01(4x + -1) 0.15x + (-5 * 0.5 + x * 0.5) = 0.01(4x + -1) 0.15x + (-2.5 + 0.5x) = 0.01(4x + -1) Reorder the terms: -2.5 + 0.15x + 0.5x = 0.01(4x + -1) Combine like terms: 0.15x + 0.5x = 0.65x -2.5 + 0.65x = 0.01(4x + -1) Reorder the terms: -2.5 + 0.65x = 0.01(-1 + 4x) -2.5 + 0.65x = (-1 * 0.01 + 4x * 0.01) -2.5 + 0.65x = (-0.01 + 0.04x) Solving -2.5 + 0.65x = -0.01 + 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. -2.5 + 0.65x + -0.04x = -0.01 + 0.04x + -0.04x Combine like terms: 0.65x + -0.04x = 0.61x -2.5 + 0.61x = -0.01 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.5 + 0.61x = -0.01 + 0.00 -2.5 + 0.61x = -0.01 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.61x = -0.01 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.61x = -0.01 + 2.5 0.61x = -0.01 + 2.5 Combine like terms: -0.01 + 2.5 = 2.49 0.61x = 2.49 Divide each side by '0.61'. x = 4.081967213 Simplifying x = 4.081967213
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