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Simplifying 11.5(2x + -6) = 4(3.5x + 12) Reorder the terms: 11.5(-6 + 2x) = 4(3.5x + 12) (-6 * 11.5 + 2x * 11.5) = 4(3.5x + 12) (-69 + 23x) = 4(3.5x + 12) Reorder the terms: -69 + 23x = 4(12 + 3.5x) -69 + 23x = (12 * 4 + 3.5x * 4) -69 + 23x = (48 + 14x) Solving -69 + 23x = 48 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -69 + 23x + -14x = 48 + 14x + -14x Combine like terms: 23x + -14x = 9x -69 + 9x = 48 + 14x + -14x Combine like terms: 14x + -14x = 0 -69 + 9x = 48 + 0 -69 + 9x = 48 Add '69' to each side of the equation. -69 + 69 + 9x = 48 + 69 Combine like terms: -69 + 69 = 0 0 + 9x = 48 + 69 9x = 48 + 69 Combine like terms: 48 + 69 = 117 9x = 117 Divide each side by '9'. x = 13 Simplifying x = 13
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