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