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Simplifying 0.75(x + -4) = 2(x + 1) Reorder the terms: 0.75(-4 + x) = 2(x + 1) (-4 * 0.75 + x * 0.75) = 2(x + 1) (-3 + 0.75x) = 2(x + 1) Reorder the terms: -3 + 0.75x = 2(1 + x) -3 + 0.75x = (1 * 2 + x * 2) -3 + 0.75x = (2 + 2x) Solving -3 + 0.75x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 0.75x + -2x = 2 + 2x + -2x Combine like terms: 0.75x + -2x = -1.25x -3 + -1.25x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -1.25x = 2 + 0 -3 + -1.25x = 2 Add '3' to each side of the equation. -3 + 3 + -1.25x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -1.25x = 2 + 3 -1.25x = 2 + 3 Combine like terms: 2 + 3 = 5 -1.25x = 5 Divide each side by '-1.25'. x = -4 Simplifying x = -4
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