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Simplifying 27 = 5(2x + 3) + -6x + 4 Reorder the terms: 27 = 5(3 + 2x) + -6x + 4 27 = (3 * 5 + 2x * 5) + -6x + 4 27 = (15 + 10x) + -6x + 4 Reorder the terms: 27 = 15 + 4 + 10x + -6x Combine like terms: 15 + 4 = 19 27 = 19 + 10x + -6x Combine like terms: 10x + -6x = 4x 27 = 19 + 4x Solving 27 = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + -4x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -4x = 19 + 0 27 + -4x = 19 Add '-27' to each side of the equation. 27 + -27 + -4x = 19 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 19 + -27 -4x = 19 + -27 Combine like terms: 19 + -27 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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