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Simplifying 8x + 5 + -2x + -7 = 3x + 19 + -1x + -4 Reorder the terms: 5 + -7 + 8x + -2x = 3x + 19 + -1x + -4 Combine like terms: 5 + -7 = -2 -2 + 8x + -2x = 3x + 19 + -1x + -4 Combine like terms: 8x + -2x = 6x -2 + 6x = 3x + 19 + -1x + -4 Reorder the terms: -2 + 6x = 19 + -4 + 3x + -1x Combine like terms: 19 + -4 = 15 -2 + 6x = 15 + 3x + -1x Combine like terms: 3x + -1x = 2x -2 + 6x = 15 + 2x Solving -2 + 6x = 15 + 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. -2 + 6x + -2x = 15 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = 15 + 0 -2 + 4x = 15 Add '2' to each side of the equation. -2 + 2 + 4x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 15 + 2 4x = 15 + 2 Combine like terms: 15 + 2 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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