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Simplifying -3x + 4x + -7 + 8 = -3x + 5x + 7 Reorder the terms: -7 + 8 + -3x + 4x = -3x + 5x + 7 Combine like terms: -7 + 8 = 1 1 + -3x + 4x = -3x + 5x + 7 Combine like terms: -3x + 4x = 1x 1 + 1x = -3x + 5x + 7 Reorder the terms: 1 + 1x = 7 + -3x + 5x Combine like terms: -3x + 5x = 2x 1 + 1x = 7 + 2x Solving 1 + 1x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x 1 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1x = 7 + 0 1 + -1x = 7 Add '-1' to each side of the equation. 1 + -1 + -1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 7 + -1 -1x = 7 + -1 Combine like terms: 7 + -1 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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