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Simplifying 0.8(3x + -2) + -2.5 = -0.5(3x + -7) Reorder the terms: 0.8(-2 + 3x) + -2.5 = -0.5(3x + -7) (-2 * 0.8 + 3x * 0.8) + -2.5 = -0.5(3x + -7) (-1.6 + 2.4x) + -2.5 = -0.5(3x + -7) Reorder the terms: -1.6 + -2.5 + 2.4x = -0.5(3x + -7) Combine like terms: -1.6 + -2.5 = -4.1 -4.1 + 2.4x = -0.5(3x + -7) Reorder the terms: -4.1 + 2.4x = -0.5(-7 + 3x) -4.1 + 2.4x = (-7 * -0.5 + 3x * -0.5) -4.1 + 2.4x = (3.5 + -1.5x) Solving -4.1 + 2.4x = 3.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -4.1 + 2.4x + 1.5x = 3.5 + -1.5x + 1.5x Combine like terms: 2.4x + 1.5x = 3.9x -4.1 + 3.9x = 3.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -4.1 + 3.9x = 3.5 + 0.0 -4.1 + 3.9x = 3.5 Add '4.1' to each side of the equation. -4.1 + 4.1 + 3.9x = 3.5 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 3.9x = 3.5 + 4.1 3.9x = 3.5 + 4.1 Combine like terms: 3.5 + 4.1 = 7.6 3.9x = 7.6 Divide each side by '3.9'. x = 1.948717949 Simplifying x = 1.948717949
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