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Simplifying 5(3x + -5) = 6(x + 6) + 12 Reorder the terms: 5(-5 + 3x) = 6(x + 6) + 12 (-5 * 5 + 3x * 5) = 6(x + 6) + 12 (-25 + 15x) = 6(x + 6) + 12 Reorder the terms: -25 + 15x = 6(6 + x) + 12 -25 + 15x = (6 * 6 + x * 6) + 12 -25 + 15x = (36 + 6x) + 12 Reorder the terms: -25 + 15x = 36 + 12 + 6x Combine like terms: 36 + 12 = 48 -25 + 15x = 48 + 6x Solving -25 + 15x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 15x + -6x = 48 + 6x + -6x Combine like terms: 15x + -6x = 9x -25 + 9x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + 9x = 48 + 0 -25 + 9x = 48 Add '25' to each side of the equation. -25 + 25 + 9x = 48 + 25 Combine like terms: -25 + 25 = 0 0 + 9x = 48 + 25 9x = 48 + 25 Combine like terms: 48 + 25 = 73 9x = 73 Divide each side by '9'. x = 8.111111111 Simplifying x = 8.111111111
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