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Simplifying 0.6(4x + -5) + 4.5 = 0.25x + -9.25 Reorder the terms: 0.6(-5 + 4x) + 4.5 = 0.25x + -9.25 (-5 * 0.6 + 4x * 0.6) + 4.5 = 0.25x + -9.25 (-3 + 2.4x) + 4.5 = 0.25x + -9.25 Reorder the terms: -3 + 4.5 + 2.4x = 0.25x + -9.25 Combine like terms: -3 + 4.5 = 1.5 1.5 + 2.4x = 0.25x + -9.25 Reorder the terms: 1.5 + 2.4x = -9.25 + 0.25x Solving 1.5 + 2.4x = -9.25 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1.5 + 2.4x + -0.25x = -9.25 + 0.25x + -0.25x Combine like terms: 2.4x + -0.25x = 2.15x 1.5 + 2.15x = -9.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1.5 + 2.15x = -9.25 + 0.00 1.5 + 2.15x = -9.25 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2.15x = -9.25 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2.15x = -9.25 + -1.5 2.15x = -9.25 + -1.5 Combine like terms: -9.25 + -1.5 = -10.75 2.15x = -10.75 Divide each side by '2.15'. x = -5 Simplifying x = -5
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