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Simplifying 0.76(-2x + -3) = 0.19x + 6 Reorder the terms: 0.76(-3 + -2x) = 0.19x + 6 (-3 * 0.76 + -2x * 0.76) = 0.19x + 6 (-2.28 + -1.52x) = 0.19x + 6 Reorder the terms: -2.28 + -1.52x = 6 + 0.19x Solving -2.28 + -1.52x = 6 + 0.19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.19x' to each side of the equation. -2.28 + -1.52x + -0.19x = 6 + 0.19x + -0.19x Combine like terms: -1.52x + -0.19x = -1.71x -2.28 + -1.71x = 6 + 0.19x + -0.19x Combine like terms: 0.19x + -0.19x = 0.00 -2.28 + -1.71x = 6 + 0.00 -2.28 + -1.71x = 6 Add '2.28' to each side of the equation. -2.28 + 2.28 + -1.71x = 6 + 2.28 Combine like terms: -2.28 + 2.28 = 0.00 0.00 + -1.71x = 6 + 2.28 -1.71x = 6 + 2.28 Combine like terms: 6 + 2.28 = 8.28 -1.71x = 8.28 Divide each side by '-1.71'. x = -4.842105263 Simplifying x = -4.842105263
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