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Simplifying 5x + 13 + -2x + -3 = 9 + -1x + 8x + 5 Reorder the terms: 13 + -3 + 5x + -2x = 9 + -1x + 8x + 5 Combine like terms: 13 + -3 = 10 10 + 5x + -2x = 9 + -1x + 8x + 5 Combine like terms: 5x + -2x = 3x 10 + 3x = 9 + -1x + 8x + 5 Reorder the terms: 10 + 3x = 9 + 5 + -1x + 8x Combine like terms: 9 + 5 = 14 10 + 3x = 14 + -1x + 8x Combine like terms: -1x + 8x = 7x 10 + 3x = 14 + 7x Solving 10 + 3x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 3x + -7x = 14 + 7x + -7x Combine like terms: 3x + -7x = -4x 10 + -4x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -4x = 14 + 0 10 + -4x = 14 Add '-10' to each side of the equation. 10 + -10 + -4x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 14 + -10 -4x = 14 + -10 Combine like terms: 14 + -10 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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