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Simplifying -0.25(5x + 3) = 0.3(7 + -1x) Reorder the terms: -0.25(3 + 5x) = 0.3(7 + -1x) (3 * -0.25 + 5x * -0.25) = 0.3(7 + -1x) (-0.75 + -1.25x) = 0.3(7 + -1x) -0.75 + -1.25x = (7 * 0.3 + -1x * 0.3) -0.75 + -1.25x = (2.1 + -0.3x) Solving -0.75 + -1.25x = 2.1 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -0.75 + -1.25x + 0.3x = 2.1 + -0.3x + 0.3x Combine like terms: -1.25x + 0.3x = -0.95x -0.75 + -0.95x = 2.1 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -0.75 + -0.95x = 2.1 + 0.0 -0.75 + -0.95x = 2.1 Add '0.75' to each side of the equation. -0.75 + 0.75 + -0.95x = 2.1 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -0.95x = 2.1 + 0.75 -0.95x = 2.1 + 0.75 Combine like terms: 2.1 + 0.75 = 2.85 -0.95x = 2.85 Divide each side by '-0.95'. x = -3 Simplifying x = -3
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