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Simplifying 5x + 3 + -8x = -6 + -1x + 19 Reorder the terms: 3 + 5x + -8x = -6 + -1x + 19 Combine like terms: 5x + -8x = -3x 3 + -3x = -6 + -1x + 19 Reorder the terms: 3 + -3x = -6 + 19 + -1x Combine like terms: -6 + 19 = 13 3 + -3x = 13 + -1x Solving 3 + -3x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -3x + x = 13 + -1x + x Combine like terms: -3x + x = -2x 3 + -2x = 13 + -1x + x Combine like terms: -1x + x = 0 3 + -2x = 13 + 0 3 + -2x = 13 Add '-3' to each side of the equation. 3 + -3 + -2x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 13 + -3 -2x = 13 + -3 Combine like terms: 13 + -3 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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