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Simplifying 6 + -4x = 3 + -2(x + 5) + -1 Reorder the terms: 6 + -4x = 3 + -2(5 + x) + -1 6 + -4x = 3 + (5 * -2 + x * -2) + -1 6 + -4x = 3 + (-10 + -2x) + -1 Reorder the terms: 6 + -4x = 3 + -10 + -1 + -2x Combine like terms: 3 + -10 = -7 6 + -4x = -7 + -1 + -2x Combine like terms: -7 + -1 = -8 6 + -4x = -8 + -2x Solving 6 + -4x = -8 + -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. 6 + -4x + 2x = -8 + -2x + 2x Combine like terms: -4x + 2x = -2x 6 + -2x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -2x = -8 + 0 6 + -2x = -8 Add '-6' to each side of the equation. 6 + -6 + -2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -8 + -6 -2x = -8 + -6 Combine like terms: -8 + -6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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