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Simplifying 6.8(9x + 1) = 2.4(3x + -7) + 16 Reorder the terms: 6.8(1 + 9x) = 2.4(3x + -7) + 16 (1 * 6.8 + 9x * 6.8) = 2.4(3x + -7) + 16 (6.8 + 61.2x) = 2.4(3x + -7) + 16 Reorder the terms: 6.8 + 61.2x = 2.4(-7 + 3x) + 16 6.8 + 61.2x = (-7 * 2.4 + 3x * 2.4) + 16 6.8 + 61.2x = (-16.8 + 7.2x) + 16 Reorder the terms: 6.8 + 61.2x = -16.8 + 16 + 7.2x Combine like terms: -16.8 + 16 = -0.8 6.8 + 61.2x = -0.8 + 7.2x Solving 6.8 + 61.2x = -0.8 + 7.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.2x' to each side of the equation. 6.8 + 61.2x + -7.2x = -0.8 + 7.2x + -7.2x Combine like terms: 61.2x + -7.2x = 54x 6.8 + 54x = -0.8 + 7.2x + -7.2x Combine like terms: 7.2x + -7.2x = 0.0 6.8 + 54x = -0.8 + 0.0 6.8 + 54x = -0.8 Add '-6.8' to each side of the equation. 6.8 + -6.8 + 54x = -0.8 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + 54x = -0.8 + -6.8 54x = -0.8 + -6.8 Combine like terms: -0.8 + -6.8 = -7.6 54x = -7.6 Divide each side by '54'. x = -0.1407407407 Simplifying x = -0.1407407407
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