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Simplifying 1.28x + -4(3x + -8) = 1.66(x + 7) + -5 Reorder the terms: 1.28x + -4(-8 + 3x) = 1.66(x + 7) + -5 1.28x + (-8 * -4 + 3x * -4) = 1.66(x + 7) + -5 1.28x + (32 + -12x) = 1.66(x + 7) + -5 Reorder the terms: 32 + 1.28x + -12x = 1.66(x + 7) + -5 Combine like terms: 1.28x + -12x = -10.72x 32 + -10.72x = 1.66(x + 7) + -5 Reorder the terms: 32 + -10.72x = 1.66(7 + x) + -5 32 + -10.72x = (7 * 1.66 + x * 1.66) + -5 32 + -10.72x = (11.62 + 1.66x) + -5 Reorder the terms: 32 + -10.72x = 11.62 + -5 + 1.66x Combine like terms: 11.62 + -5 = 6.62 32 + -10.72x = 6.62 + 1.66x Solving 32 + -10.72x = 6.62 + 1.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.66x' to each side of the equation. 32 + -10.72x + -1.66x = 6.62 + 1.66x + -1.66x Combine like terms: -10.72x + -1.66x = -12.38x 32 + -12.38x = 6.62 + 1.66x + -1.66x Combine like terms: 1.66x + -1.66x = 0.00 32 + -12.38x = 6.62 + 0.00 32 + -12.38x = 6.62 Add '-32' to each side of the equation. 32 + -32 + -12.38x = 6.62 + -32 Combine like terms: 32 + -32 = 0 0 + -12.38x = 6.62 + -32 -12.38x = 6.62 + -32 Combine like terms: 6.62 + -32 = -25.38 -12.38x = -25.38 Divide each side by '-12.38'. x = 2.050080775 Simplifying x = 2.050080775
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