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Simplifying -3.2(7.7 + -5.6x) = 5.4 + -7.1(-4.8 + 7.5x) (7.7 * -3.2 + -5.6x * -3.2) = 5.4 + -7.1(-4.8 + 7.5x) (-24.64 + 17.92x) = 5.4 + -7.1(-4.8 + 7.5x) -24.64 + 17.92x = 5.4 + (-4.8 * -7.1 + 7.5x * -7.1) -24.64 + 17.92x = 5.4 + (34.08 + -53.25x) Combine like terms: 5.4 + 34.08 = 39.48 -24.64 + 17.92x = 39.48 + -53.25x Solving -24.64 + 17.92x = 39.48 + -53.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53.25x' to each side of the equation. -24.64 + 17.92x + 53.25x = 39.48 + -53.25x + 53.25x Combine like terms: 17.92x + 53.25x = 71.17x -24.64 + 71.17x = 39.48 + -53.25x + 53.25x Combine like terms: -53.25x + 53.25x = 0.00 -24.64 + 71.17x = 39.48 + 0.00 -24.64 + 71.17x = 39.48 Add '24.64' to each side of the equation. -24.64 + 24.64 + 71.17x = 39.48 + 24.64 Combine like terms: -24.64 + 24.64 = 0.00 0.00 + 71.17x = 39.48 + 24.64 71.17x = 39.48 + 24.64 Combine like terms: 39.48 + 24.64 = 64.12 71.17x = 64.12 Divide each side by '71.17'. x = 0.9009414079 Simplifying x = 0.9009414079
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