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Simplifying -5(3x + -2) + 3 = 6x + -8 Reorder the terms: -5(-2 + 3x) + 3 = 6x + -8 (-2 * -5 + 3x * -5) + 3 = 6x + -8 (10 + -15x) + 3 = 6x + -8 Reorder the terms: 10 + 3 + -15x = 6x + -8 Combine like terms: 10 + 3 = 13 13 + -15x = 6x + -8 Reorder the terms: 13 + -15x = -8 + 6x Solving 13 + -15x = -8 + 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. 13 + -15x + -6x = -8 + 6x + -6x Combine like terms: -15x + -6x = -21x 13 + -21x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -21x = -8 + 0 13 + -21x = -8 Add '-13' to each side of the equation. 13 + -13 + -21x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -21x = -8 + -13 -21x = -8 + -13 Combine like terms: -8 + -13 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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