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Simplifying 5(2x + 3) + -4x = 8x + 27 Reorder the terms: 5(3 + 2x) + -4x = 8x + 27 (3 * 5 + 2x * 5) + -4x = 8x + 27 (15 + 10x) + -4x = 8x + 27 Combine like terms: 10x + -4x = 6x 15 + 6x = 8x + 27 Reorder the terms: 15 + 6x = 27 + 8x Solving 15 + 6x = 27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 6x + -8x = 27 + 8x + -8x Combine like terms: 6x + -8x = -2x 15 + -2x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -2x = 27 + 0 15 + -2x = 27 Add '-15' to each side of the equation. 15 + -15 + -2x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 27 + -15 -2x = 27 + -15 Combine like terms: 27 + -15 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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