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Simplifying -4x + 7 = 8x + 19 Reorder the terms: 7 + -4x = 8x + 19 Reorder the terms: 7 + -4x = 19 + 8x Solving 7 + -4x = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + -4x + -8x = 19 + 8x + -8x Combine like terms: -4x + -8x = -12x 7 + -12x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -12x = 19 + 0 7 + -12x = 19 Add '-7' to each side of the equation. 7 + -7 + -12x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 19 + -7 -12x = 19 + -7 Combine like terms: 19 + -7 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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