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Simplifying 5x + 13 + 7x = 16x + 1 Reorder the terms: 13 + 5x + 7x = 16x + 1 Combine like terms: 5x + 7x = 12x 13 + 12x = 16x + 1 Reorder the terms: 13 + 12x = 1 + 16x Solving 13 + 12x = 1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 13 + 12x + -16x = 1 + 16x + -16x Combine like terms: 12x + -16x = -4x 13 + -4x = 1 + 16x + -16x Combine like terms: 16x + -16x = 0 13 + -4x = 1 + 0 13 + -4x = 1 Add '-13' to each side of the equation. 13 + -13 + -4x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 1 + -13 -4x = 1 + -13 Combine like terms: 1 + -13 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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