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Simplifying 5x + 13 + -1x = 6x + 12 Reorder the terms: 13 + 5x + -1x = 6x + 12 Combine like terms: 5x + -1x = 4x 13 + 4x = 6x + 12 Reorder the terms: 13 + 4x = 12 + 6x Solving 13 + 4x = 12 + 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 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x 13 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -2x = 12 + 0 13 + -2x = 12 Add '-13' to each side of the equation. 13 + -13 + -2x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 12 + -13 -2x = 12 + -13 Combine like terms: 12 + -13 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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