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Simplifying 0.75(2x + -3) = 1.2(3x + 1) Reorder the terms: 0.75(-3 + 2x) = 1.2(3x + 1) (-3 * 0.75 + 2x * 0.75) = 1.2(3x + 1) (-2.25 + 1.5x) = 1.2(3x + 1) Reorder the terms: -2.25 + 1.5x = 1.2(1 + 3x) -2.25 + 1.5x = (1 * 1.2 + 3x * 1.2) -2.25 + 1.5x = (1.2 + 3.6x) Solving -2.25 + 1.5x = 1.2 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. -2.25 + 1.5x + -3.6x = 1.2 + 3.6x + -3.6x Combine like terms: 1.5x + -3.6x = -2.1x -2.25 + -2.1x = 1.2 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 -2.25 + -2.1x = 1.2 + 0.0 -2.25 + -2.1x = 1.2 Add '2.25' to each side of the equation. -2.25 + 2.25 + -2.1x = 1.2 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + -2.1x = 1.2 + 2.25 -2.1x = 1.2 + 2.25 Combine like terms: 1.2 + 2.25 = 3.45 -2.1x = 3.45 Divide each side by '-2.1'. x = -1.642857143 Simplifying x = -1.642857143
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