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Simplifying (6x + -3) + (10 + -3x) = 2x + -1(5 + -4x) Reorder the terms: (-3 + 6x) + (10 + -3x) = 2x + -1(5 + -4x) Remove parenthesis around (-3 + 6x) -3 + 6x + (10 + -3x) = 2x + -1(5 + -4x) Remove parenthesis around (10 + -3x) -3 + 6x + 10 + -3x = 2x + -1(5 + -4x) Reorder the terms: -3 + 10 + 6x + -3x = 2x + -1(5 + -4x) Combine like terms: -3 + 10 = 7 7 + 6x + -3x = 2x + -1(5 + -4x) Combine like terms: 6x + -3x = 3x 7 + 3x = 2x + -1(5 + -4x) 7 + 3x = 2x + (5 * -1 + -4x * -1) 7 + 3x = 2x + (-5 + 4x) Reorder the terms: 7 + 3x = -5 + 2x + 4x Combine like terms: 2x + 4x = 6x 7 + 3x = -5 + 6x Solving 7 + 3x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 3x + -6x = -5 + 6x + -6x Combine like terms: 3x + -6x = -3x 7 + -3x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -3x = -5 + 0 7 + -3x = -5 Add '-7' to each side of the equation. 7 + -7 + -3x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -5 + -7 -3x = -5 + -7 Combine like terms: -5 + -7 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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