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Simplifying 3x + 27 = 13x + -53 Reorder the terms: 27 + 3x = 13x + -53 Reorder the terms: 27 + 3x = -53 + 13x Solving 27 + 3x = -53 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 27 + 3x + -13x = -53 + 13x + -13x Combine like terms: 3x + -13x = -10x 27 + -10x = -53 + 13x + -13x Combine like terms: 13x + -13x = 0 27 + -10x = -53 + 0 27 + -10x = -53 Add '-27' to each side of the equation. 27 + -27 + -10x = -53 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = -53 + -27 -10x = -53 + -27 Combine like terms: -53 + -27 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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