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Simplifying 8.2(6x + -3) = 7(7x + -12) Reorder the terms: 8.2(-3 + 6x) = 7(7x + -12) (-3 * 8.2 + 6x * 8.2) = 7(7x + -12) (-24.6 + 49.2x) = 7(7x + -12) Reorder the terms: -24.6 + 49.2x = 7(-12 + 7x) -24.6 + 49.2x = (-12 * 7 + 7x * 7) -24.6 + 49.2x = (-84 + 49x) Solving -24.6 + 49.2x = -84 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -24.6 + 49.2x + -49x = -84 + 49x + -49x Combine like terms: 49.2x + -49x = 0.2x -24.6 + 0.2x = -84 + 49x + -49x Combine like terms: 49x + -49x = 0 -24.6 + 0.2x = -84 + 0 -24.6 + 0.2x = -84 Add '24.6' to each side of the equation. -24.6 + 24.6 + 0.2x = -84 + 24.6 Combine like terms: -24.6 + 24.6 = 0.0 0.0 + 0.2x = -84 + 24.6 0.2x = -84 + 24.6 Combine like terms: -84 + 24.6 = -59.4 0.2x = -59.4 Divide each side by '0.2'. x = -297 Simplifying x = -297
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