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Simplifying 5 + -3x + 8 = 2x + -7 + -1x Reorder the terms: 5 + 8 + -3x = 2x + -7 + -1x Combine like terms: 5 + 8 = 13 13 + -3x = 2x + -7 + -1x Reorder the terms: 13 + -3x = -7 + 2x + -1x Combine like terms: 2x + -1x = 1x 13 + -3x = -7 + 1x Solving 13 + -3x = -7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -3x + -1x = -7 + 1x + -1x Combine like terms: -3x + -1x = -4x 13 + -4x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + -4x = -7 + 0 13 + -4x = -7 Add '-13' to each side of the equation. 13 + -13 + -4x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -7 + -13 -4x = -7 + -13 Combine like terms: -7 + -13 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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