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Simplifying 8x + 13 = -3x + 7x + 1 Reorder the terms: 13 + 8x = -3x + 7x + 1 Reorder the terms: 13 + 8x = 1 + -3x + 7x Combine like terms: -3x + 7x = 4x 13 + 8x = 1 + 4x Solving 13 + 8x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 8x + -4x = 1 + 4x + -4x Combine like terms: 8x + -4x = 4x 13 + 4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 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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