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Simplifying 0.25(8x + 28) + -19 = -0.5(18x + -14) Reorder the terms: 0.25(28 + 8x) + -19 = -0.5(18x + -14) (28 * 0.25 + 8x * 0.25) + -19 = -0.5(18x + -14) (7 + 2x) + -19 = -0.5(18x + -14) Reorder the terms: 7 + -19 + 2x = -0.5(18x + -14) Combine like terms: 7 + -19 = -12 -12 + 2x = -0.5(18x + -14) Reorder the terms: -12 + 2x = -0.5(-14 + 18x) -12 + 2x = (-14 * -0.5 + 18x * -0.5) -12 + 2x = (7 + -9x) Solving -12 + 2x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + 2x + 9x = 7 + -9x + 9x Combine like terms: 2x + 9x = 11x -12 + 11x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 11x = 7 + 0 -12 + 11x = 7 Add '12' to each side of the equation. -12 + 12 + 11x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 7 + 12 11x = 7 + 12 Combine like terms: 7 + 12 = 19 11x = 19 Divide each side by '11'. x = 1.727272727 Simplifying x = 1.727272727
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