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Simplifying 2x + -1 = 0.75(8x + 20) Reorder the terms: -1 + 2x = 0.75(8x + 20) Reorder the terms: -1 + 2x = 0.75(20 + 8x) -1 + 2x = (20 * 0.75 + 8x * 0.75) -1 + 2x = (15 + 6x) Solving -1 + 2x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 2x + -6x = 15 + 6x + -6x Combine like terms: 2x + -6x = -4x -1 + -4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -4x = 15 + 0 -1 + -4x = 15 Add '1' to each side of the equation. -1 + 1 + -4x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 15 + 1 -4x = 15 + 1 Combine like terms: 15 + 1 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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