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Simplifying -7(3x + 5) + -2 = -6x + 23 Reorder the terms: -7(5 + 3x) + -2 = -6x + 23 (5 * -7 + 3x * -7) + -2 = -6x + 23 (-35 + -21x) + -2 = -6x + 23 Reorder the terms: -35 + -2 + -21x = -6x + 23 Combine like terms: -35 + -2 = -37 -37 + -21x = -6x + 23 Reorder the terms: -37 + -21x = 23 + -6x Solving -37 + -21x = 23 + -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. -37 + -21x + 6x = 23 + -6x + 6x Combine like terms: -21x + 6x = -15x -37 + -15x = 23 + -6x + 6x Combine like terms: -6x + 6x = 0 -37 + -15x = 23 + 0 -37 + -15x = 23 Add '37' to each side of the equation. -37 + 37 + -15x = 23 + 37 Combine like terms: -37 + 37 = 0 0 + -15x = 23 + 37 -15x = 23 + 37 Combine like terms: 23 + 37 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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