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Simplifying -1[x + 7] = 3[2x + 1] Reorder the terms: -1[7 + x] = 3[2x + 1] [7 * -1 + x * -1] = 3[2x + 1] [-7 + -1x] = 3[2x + 1] Reorder the terms: -7 + -1x = 3[1 + 2x] -7 + -1x = [1 * 3 + 2x * 3] -7 + -1x = [3 + 6x] Solving -7 + -1x = 3 + 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. -7 + -1x + -6x = 3 + 6x + -6x Combine like terms: -1x + -6x = -7x -7 + -7x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -7x = 3 + 0 -7 + -7x = 3 Add '7' to each side of the equation. -7 + 7 + -7x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 3 + 7 -7x = 3 + 7 Combine like terms: 3 + 7 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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