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Simplifying 5x + 6 = 16x + -3x + 54 Reorder the terms: 6 + 5x = 16x + -3x + 54 Reorder the terms: 6 + 5x = 54 + 16x + -3x Combine like terms: 16x + -3x = 13x 6 + 5x = 54 + 13x Solving 6 + 5x = 54 + 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. 6 + 5x + -13x = 54 + 13x + -13x Combine like terms: 5x + -13x = -8x 6 + -8x = 54 + 13x + -13x Combine like terms: 13x + -13x = 0 6 + -8x = 54 + 0 6 + -8x = 54 Add '-6' to each side of the equation. 6 + -6 + -8x = 54 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 54 + -6 -8x = 54 + -6 Combine like terms: 54 + -6 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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