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Simplifying 0.25(8x + 28) + -19 = -0.40(30x + -45) Reorder the terms: 0.25(28 + 8x) + -19 = -0.40(30x + -45) (28 * 0.25 + 8x * 0.25) + -19 = -0.40(30x + -45) (7 + 2x) + -19 = -0.40(30x + -45) Reorder the terms: 7 + -19 + 2x = -0.40(30x + -45) Combine like terms: 7 + -19 = -12 -12 + 2x = -0.40(30x + -45) Reorder the terms: -12 + 2x = -0.40(-45 + 30x) -12 + 2x = (-45 * -0.40 + 30x * -0.40) -12 + 2x = (18 + -12x) Solving -12 + 2x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + 2x + 12x = 18 + -12x + 12x Combine like terms: 2x + 12x = 14x -12 + 14x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 14x = 18 + 0 -12 + 14x = 18 Add '12' to each side of the equation. -12 + 12 + 14x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 18 + 12 14x = 18 + 12 Combine like terms: 18 + 12 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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