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Simplifying 5(3x + 4) + 4(2x + -2) = 27 Reorder the terms: 5(4 + 3x) + 4(2x + -2) = 27 (4 * 5 + 3x * 5) + 4(2x + -2) = 27 (20 + 15x) + 4(2x + -2) = 27 Reorder the terms: 20 + 15x + 4(-2 + 2x) = 27 20 + 15x + (-2 * 4 + 2x * 4) = 27 20 + 15x + (-8 + 8x) = 27 Reorder the terms: 20 + -8 + 15x + 8x = 27 Combine like terms: 20 + -8 = 12 12 + 15x + 8x = 27 Combine like terms: 15x + 8x = 23x 12 + 23x = 27 Solving 12 + 23x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 23x = 27 + -12 23x = 27 + -12 Combine like terms: 27 + -12 = 15 23x = 15 Divide each side by '23'. x = 0.652173913 Simplifying x = 0.652173913
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