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Simplifying 4 + -7x + 3x + -5 = 8x + -2 + 6x + 19 Reorder the terms: 4 + -5 + -7x + 3x = 8x + -2 + 6x + 19 Combine like terms: 4 + -5 = -1 -1 + -7x + 3x = 8x + -2 + 6x + 19 Combine like terms: -7x + 3x = -4x -1 + -4x = 8x + -2 + 6x + 19 Reorder the terms: -1 + -4x = -2 + 19 + 8x + 6x Combine like terms: -2 + 19 = 17 -1 + -4x = 17 + 8x + 6x Combine like terms: 8x + 6x = 14x -1 + -4x = 17 + 14x Solving -1 + -4x = 17 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -1 + -4x + -14x = 17 + 14x + -14x Combine like terms: -4x + -14x = -18x -1 + -18x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 -1 + -18x = 17 + 0 -1 + -18x = 17 Add '1' to each side of the equation. -1 + 1 + -18x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -18x = 17 + 1 -18x = 17 + 1 Combine like terms: 17 + 1 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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