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Simplifying 4 + (x + 6) + -3x = (5 + -2x) + -1(4x + 3) Reorder the terms: 4 + (6 + x) + -3x = (5 + -2x) + -1(4x + 3) Remove parenthesis around (6 + x) 4 + 6 + x + -3x = (5 + -2x) + -1(4x + 3) Combine like terms: 4 + 6 = 10 10 + x + -3x = (5 + -2x) + -1(4x + 3) Combine like terms: x + -3x = -2x 10 + -2x = (5 + -2x) + -1(4x + 3) Remove parenthesis around (5 + -2x) 10 + -2x = 5 + -2x + -1(4x + 3) Reorder the terms: 10 + -2x = 5 + -2x + -1(3 + 4x) 10 + -2x = 5 + -2x + (3 * -1 + 4x * -1) 10 + -2x = 5 + -2x + (-3 + -4x) Reorder the terms: 10 + -2x = 5 + -3 + -2x + -4x Combine like terms: 5 + -3 = 2 10 + -2x = 2 + -2x + -4x Combine like terms: -2x + -4x = -6x 10 + -2x = 2 + -6x Solving 10 + -2x = 2 + -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. 10 + -2x + 6x = 2 + -6x + 6x Combine like terms: -2x + 6x = 4x 10 + 4x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 4x = 2 + 0 10 + 4x = 2 Add '-10' to each side of the equation. 10 + -10 + 4x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 2 + -10 4x = 2 + -10 Combine like terms: 2 + -10 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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