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Simplifying 3x + 27 = 5(2x + 3) + -4x Reorder the terms: 27 + 3x = 5(2x + 3) + -4x Reorder the terms: 27 + 3x = 5(3 + 2x) + -4x 27 + 3x = (3 * 5 + 2x * 5) + -4x 27 + 3x = (15 + 10x) + -4x Combine like terms: 10x + -4x = 6x 27 + 3x = 15 + 6x Solving 27 + 3x = 15 + 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. 27 + 3x + -6x = 15 + 6x + -6x Combine like terms: 3x + -6x = -3x 27 + -3x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -3x = 15 + 0 27 + -3x = 15 Add '-27' to each side of the equation. 27 + -27 + -3x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 15 + -27 -3x = 15 + -27 Combine like terms: 15 + -27 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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