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Simplifying (5x + 3) + -6x = 3x + 10 + -3 Reorder the terms: (3 + 5x) + -6x = 3x + 10 + -3 Remove parenthesis around (3 + 5x) 3 + 5x + -6x = 3x + 10 + -3 Combine like terms: 5x + -6x = -1x 3 + -1x = 3x + 10 + -3 Reorder the terms: 3 + -1x = 10 + -3 + 3x Combine like terms: 10 + -3 = 7 3 + -1x = 7 + 3x Solving 3 + -1x = 7 + 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. 3 + -1x + -3x = 7 + 3x + -3x Combine like terms: -1x + -3x = -4x 3 + -4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -4x = 7 + 0 3 + -4x = 7 Add '-3' to each side of the equation. 3 + -3 + -4x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 7 + -3 -4x = 7 + -3 Combine like terms: 7 + -3 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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