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Simplifying 0.25(3x + -2) = 0.28(5x + -2) + 9 Reorder the terms: 0.25(-2 + 3x) = 0.28(5x + -2) + 9 (-2 * 0.25 + 3x * 0.25) = 0.28(5x + -2) + 9 (-0.5 + 0.75x) = 0.28(5x + -2) + 9 Reorder the terms: -0.5 + 0.75x = 0.28(-2 + 5x) + 9 -0.5 + 0.75x = (-2 * 0.28 + 5x * 0.28) + 9 -0.5 + 0.75x = (-0.56 + 1.4x) + 9 Reorder the terms: -0.5 + 0.75x = -0.56 + 9 + 1.4x Combine like terms: -0.56 + 9 = 8.44 -0.5 + 0.75x = 8.44 + 1.4x Solving -0.5 + 0.75x = 8.44 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -0.5 + 0.75x + -1.4x = 8.44 + 1.4x + -1.4x Combine like terms: 0.75x + -1.4x = -0.65x -0.5 + -0.65x = 8.44 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -0.5 + -0.65x = 8.44 + 0.0 -0.5 + -0.65x = 8.44 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.65x = 8.44 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.65x = 8.44 + 0.5 -0.65x = 8.44 + 0.5 Combine like terms: 8.44 + 0.5 = 8.94 -0.65x = 8.94 Divide each side by '-0.65'. x = -13.75384615 Simplifying x = -13.75384615
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