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