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Simplifying X + -5(x + -3) = 6(2x + 1) + -7 Reorder the terms: X + -5(-3 + x) = 6(2x + 1) + -7 X + (-3 * -5 + x * -5) = 6(2x + 1) + -7 X + (15 + -5x) = 6(2x + 1) + -7 Reorder the terms: 15 + X + -5x = 6(2x + 1) + -7 Reorder the terms: 15 + X + -5x = 6(1 + 2x) + -7 15 + X + -5x = (1 * 6 + 2x * 6) + -7 15 + X + -5x = (6 + 12x) + -7 Reorder the terms: 15 + X + -5x = 6 + -7 + 12x Combine like terms: 6 + -7 = -1 15 + X + -5x = -1 + 12x Solving 15 + X + -5x = -1 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + X + -15 + -5x = -1 + -15 + 12x Reorder the terms: 15 + -15 + X + -5x = -1 + -15 + 12x Combine like terms: 15 + -15 = 0 0 + X + -5x = -1 + -15 + 12x X + -5x = -1 + -15 + 12x Combine like terms: -1 + -15 = -16 X + -5x = -16 + 12x Add '5x' to each side of the equation. X + -5x + 5x = -16 + 12x + 5x Combine like terms: -5x + 5x = 0 X + 0 = -16 + 12x + 5x X = -16 + 12x + 5x Combine like terms: 12x + 5x = 17x X = -16 + 17x Simplifying X = -16 + 17x
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