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Simplifying 2[6x + -4(x + -2)] = 7x + 1 Reorder the terms: 2[6x + -4(-2 + x)] = 7x + 1 2[6x + (-2 * -4 + x * -4)] = 7x + 1 2[6x + (8 + -4x)] = 7x + 1 Reorder the terms: 2[8 + 6x + -4x] = 7x + 1 Combine like terms: 6x + -4x = 2x 2[8 + 2x] = 7x + 1 [8 * 2 + 2x * 2] = 7x + 1 [16 + 4x] = 7x + 1 Reorder the terms: 16 + 4x = 1 + 7x Solving 16 + 4x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 4x + -7x = 1 + 7x + -7x Combine like terms: 4x + -7x = -3x 16 + -3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -3x = 1 + 0 16 + -3x = 1 Add '-16' to each side of the equation. 16 + -16 + -3x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 1 + -16 -3x = 1 + -16 Combine like terms: 1 + -16 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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