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Simplifying 5x + 4 + -6x + 8 = 3x + 4 + -8x + -7 + 3x Reorder the terms: 4 + 8 + 5x + -6x = 3x + 4 + -8x + -7 + 3x Combine like terms: 4 + 8 = 12 12 + 5x + -6x = 3x + 4 + -8x + -7 + 3x Combine like terms: 5x + -6x = -1x 12 + -1x = 3x + 4 + -8x + -7 + 3x Reorder the terms: 12 + -1x = 4 + -7 + 3x + -8x + 3x Combine like terms: 4 + -7 = -3 12 + -1x = -3 + 3x + -8x + 3x Combine like terms: 3x + -8x = -5x 12 + -1x = -3 + -5x + 3x Combine like terms: -5x + 3x = -2x 12 + -1x = -3 + -2x Solving 12 + -1x = -3 + -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. 12 + -1x + 2x = -3 + -2x + 2x Combine like terms: -1x + 2x = 1x 12 + 1x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 1x = -3 + 0 12 + 1x = -3 Add '-12' to each side of the equation. 12 + -12 + 1x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -3 + -12 1x = -3 + -12 Combine like terms: -3 + -12 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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