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Simplifying 3x + -2.75 + 1.5x = 2(3x + 2) Reorder the terms: -2.75 + 3x + 1.5x = 2(3x + 2) Combine like terms: 3x + 1.5x = 4.5x -2.75 + 4.5x = 2(3x + 2) Reorder the terms: -2.75 + 4.5x = 2(2 + 3x) -2.75 + 4.5x = (2 * 2 + 3x * 2) -2.75 + 4.5x = (4 + 6x) Solving -2.75 + 4.5x = 4 + 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. -2.75 + 4.5x + -6x = 4 + 6x + -6x Combine like terms: 4.5x + -6x = -1.5x -2.75 + -1.5x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -2.75 + -1.5x = 4 + 0 -2.75 + -1.5x = 4 Add '2.75' to each side of the equation. -2.75 + 2.75 + -1.5x = 4 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + -1.5x = 4 + 2.75 -1.5x = 4 + 2.75 Combine like terms: 4 + 2.75 = 6.75 -1.5x = 6.75 Divide each side by '-1.5'. x = -4.5 Simplifying x = -4.5
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