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Simplifying 0.025x + -1 = 0.15(x + -5) Reorder the terms: -1 + 0.025x = 0.15(x + -5) Reorder the terms: -1 + 0.025x = 0.15(-5 + x) -1 + 0.025x = (-5 * 0.15 + x * 0.15) -1 + 0.025x = (-0.75 + 0.15x) Solving -1 + 0.025x = -0.75 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -1 + 0.025x + -0.15x = -0.75 + 0.15x + -0.15x Combine like terms: 0.025x + -0.15x = -0.125x -1 + -0.125x = -0.75 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -1 + -0.125x = -0.75 + 0.00 -1 + -0.125x = -0.75 Add '1' to each side of the equation. -1 + 1 + -0.125x = -0.75 + 1 Combine like terms: -1 + 1 = 0 0 + -0.125x = -0.75 + 1 -0.125x = -0.75 + 1 Combine like terms: -0.75 + 1 = 0.25 -0.125x = 0.25 Divide each side by '-0.125'. x = -2 Simplifying x = -2
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