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Simplifying 0.35x + -2.95 = 0.5(x + -5) Reorder the terms: -2.95 + 0.35x = 0.5(x + -5) Reorder the terms: -2.95 + 0.35x = 0.5(-5 + x) -2.95 + 0.35x = (-5 * 0.5 + x * 0.5) -2.95 + 0.35x = (-2.5 + 0.5x) Solving -2.95 + 0.35x = -2.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -2.95 + 0.35x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.35x + -0.5x = -0.15x -2.95 + -0.15x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2.95 + -0.15x = -2.5 + 0.0 -2.95 + -0.15x = -2.5 Add '2.95' to each side of the equation. -2.95 + 2.95 + -0.15x = -2.5 + 2.95 Combine like terms: -2.95 + 2.95 = 0.00 0.00 + -0.15x = -2.5 + 2.95 -0.15x = -2.5 + 2.95 Combine like terms: -2.5 + 2.95 = 0.45 -0.15x = 0.45 Divide each side by '-0.15'. x = -3 Simplifying x = -3
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