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Simplifying -10 + (x + 6) = 4 + -1(2x + -3) Reorder the terms: -10 + (6 + x) = 4 + -1(2x + -3) Remove parenthesis around (6 + x) -10 + 6 + x = 4 + -1(2x + -3) Combine like terms: -10 + 6 = -4 -4 + x = 4 + -1(2x + -3) Reorder the terms: -4 + x = 4 + -1(-3 + 2x) -4 + x = 4 + (-3 * -1 + 2x * -1) -4 + x = 4 + (3 + -2x) Combine like terms: 4 + 3 = 7 -4 + x = 7 + -2x Solving -4 + x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + x + 2x = 7 + -2x + 2x Combine like terms: x + 2x = 3x -4 + 3x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 3x = 7 + 0 -4 + 3x = 7 Add '4' to each side of the equation. -4 + 4 + 3x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 7 + 4 3x = 7 + 4 Combine like terms: 7 + 4 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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