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Simplifying 0.75(x + -2) = 7 + 4x Reorder the terms: 0.75(-2 + x) = 7 + 4x (-2 * 0.75 + x * 0.75) = 7 + 4x (-1.5 + 0.75x) = 7 + 4x Solving -1.5 + 0.75x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1.5 + 0.75x + -4x = 7 + 4x + -4x Combine like terms: 0.75x + -4x = -3.25x -1.5 + -3.25x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -1.5 + -3.25x = 7 + 0 -1.5 + -3.25x = 7 Add '1.5' to each side of the equation. -1.5 + 1.5 + -3.25x = 7 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3.25x = 7 + 1.5 -3.25x = 7 + 1.5 Combine like terms: 7 + 1.5 = 8.5 -3.25x = 8.5 Divide each side by '-3.25'. x = -2.615384615 Simplifying x = -2.615384615
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