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Simplifying -3x + 4x + -7 = 8 + -3x + 11 Reorder the terms: -7 + -3x + 4x = 8 + -3x + 11 Combine like terms: -3x + 4x = 1x -7 + 1x = 8 + -3x + 11 Reorder the terms: -7 + 1x = 8 + 11 + -3x Combine like terms: 8 + 11 = 19 -7 + 1x = 19 + -3x Solving -7 + 1x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 1x + 3x = 19 + -3x + 3x Combine like terms: 1x + 3x = 4x -7 + 4x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 4x = 19 + 0 -7 + 4x = 19 Add '7' to each side of the equation. -7 + 7 + 4x = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 19 + 7 4x = 19 + 7 Combine like terms: 19 + 7 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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