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Simplifying 6 + -1(x + 7) + -1(3x + -5) = -2x + -10 Reorder the terms: 6 + -1(7 + x) + -1(3x + -5) = -2x + -10 6 + (7 * -1 + x * -1) + -1(3x + -5) = -2x + -10 6 + (-7 + -1x) + -1(3x + -5) = -2x + -10 Reorder the terms: 6 + -7 + -1x + -1(-5 + 3x) = -2x + -10 6 + -7 + -1x + (-5 * -1 + 3x * -1) = -2x + -10 6 + -7 + -1x + (5 + -3x) = -2x + -10 Reorder the terms: 6 + -7 + 5 + -1x + -3x = -2x + -10 Combine like terms: 6 + -7 = -1 -1 + 5 + -1x + -3x = -2x + -10 Combine like terms: -1 + 5 = 4 4 + -1x + -3x = -2x + -10 Combine like terms: -1x + -3x = -4x 4 + -4x = -2x + -10 Reorder the terms: 4 + -4x = -10 + -2x Solving 4 + -4x = -10 + -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 + -4x + 2x = -10 + -2x + 2x Combine like terms: -4x + 2x = -2x 4 + -2x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -2x = -10 + 0 4 + -2x = -10 Add '-4' to each side of the equation. 4 + -4 + -2x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -10 + -4 -2x = -10 + -4 Combine like terms: -10 + -4 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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