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Simplifying 5x + 10 + -6x + 3 = 6 + -3x + -2 Reorder the terms: 10 + 3 + 5x + -6x = 6 + -3x + -2 Combine like terms: 10 + 3 = 13 13 + 5x + -6x = 6 + -3x + -2 Combine like terms: 5x + -6x = -1x 13 + -1x = 6 + -3x + -2 Reorder the terms: 13 + -1x = 6 + -2 + -3x Combine like terms: 6 + -2 = 4 13 + -1x = 4 + -3x Solving 13 + -1x = 4 + -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. 13 + -1x + 3x = 4 + -3x + 3x Combine like terms: -1x + 3x = 2x 13 + 2x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 2x = 4 + 0 13 + 2x = 4 Add '-13' to each side of the equation. 13 + -13 + 2x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 4 + -13 2x = 4 + -13 Combine like terms: 4 + -13 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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