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Simplifying 6x + -2(4 + x) = x + 7 6x + (4 * -2 + x * -2) = x + 7 6x + (-8 + -2x) = x + 7 Reorder the terms: -8 + 6x + -2x = x + 7 Combine like terms: 6x + -2x = 4x -8 + 4x = x + 7 Reorder the terms: -8 + 4x = 7 + x Solving -8 + 4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 4x + -1x = 7 + x + -1x Combine like terms: 4x + -1x = 3x -8 + 3x = 7 + x + -1x Combine like terms: x + -1x = 0 -8 + 3x = 7 + 0 -8 + 3x = 7 Add '8' to each side of the equation. -8 + 8 + 3x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 7 + 8 3x = 7 + 8 Combine like terms: 7 + 8 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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