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Simplifying 5(2x + 1) + -4x = 27 + -3(3x + -1) + 5 Reorder the terms: 5(1 + 2x) + -4x = 27 + -3(3x + -1) + 5 (1 * 5 + 2x * 5) + -4x = 27 + -3(3x + -1) + 5 (5 + 10x) + -4x = 27 + -3(3x + -1) + 5 Combine like terms: 10x + -4x = 6x 5 + 6x = 27 + -3(3x + -1) + 5 Reorder the terms: 5 + 6x = 27 + -3(-1 + 3x) + 5 5 + 6x = 27 + (-1 * -3 + 3x * -3) + 5 5 + 6x = 27 + (3 + -9x) + 5 Reorder the terms: 5 + 6x = 27 + 3 + 5 + -9x Combine like terms: 27 + 3 = 30 5 + 6x = 30 + 5 + -9x Combine like terms: 30 + 5 = 35 5 + 6x = 35 + -9x Solving 5 + 6x = 35 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + 6x + 9x = 35 + -9x + 9x Combine like terms: 6x + 9x = 15x 5 + 15x = 35 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 15x = 35 + 0 5 + 15x = 35 Add '-5' to each side of the equation. 5 + -5 + 15x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 35 + -5 15x = 35 + -5 Combine like terms: 35 + -5 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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