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Simplifying 3x + -5 + 8 = 4x + -7 Reorder the terms: -5 + 8 + 3x = 4x + -7 Combine like terms: -5 + 8 = 3 3 + 3x = 4x + -7 Reorder the terms: 3 + 3x = -7 + 4x Solving 3 + 3x = -7 + 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. 3 + 3x + -4x = -7 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = -7 + 0 3 + -1x = -7 Add '-3' to each side of the equation. 3 + -3 + -1x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -7 + -3 -1x = -7 + -3 Combine like terms: -7 + -3 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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