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Simplifying -0.312 + -2.4x = 0.9(2.5x + 1.1) Reorder the terms: -0.312 + -2.4x = 0.9(1.1 + 2.5x) -0.312 + -2.4x = (1.1 * 0.9 + 2.5x * 0.9) -0.312 + -2.4x = (0.99 + 2.25x) Solving -0.312 + -2.4x = 0.99 + 2.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25x' to each side of the equation. -0.312 + -2.4x + -2.25x = 0.99 + 2.25x + -2.25x Combine like terms: -2.4x + -2.25x = -4.65x -0.312 + -4.65x = 0.99 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 -0.312 + -4.65x = 0.99 + 0.00 -0.312 + -4.65x = 0.99 Add '0.312' to each side of the equation. -0.312 + 0.312 + -4.65x = 0.99 + 0.312 Combine like terms: -0.312 + 0.312 = 0.000 0.000 + -4.65x = 0.99 + 0.312 -4.65x = 0.99 + 0.312 Combine like terms: 0.99 + 0.312 = 1.302 -4.65x = 1.302 Divide each side by '-4.65'. x = -0.28 Simplifying x = -0.28
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