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Simplifying 4[x + -1(-7)] = 2(x + 8) Multiply -1 * -7 4[x + 7] = 2(x + 8) Reorder the terms: 4[7 + x] = 2(x + 8) [7 * 4 + x * 4] = 2(x + 8) [28 + 4x] = 2(x + 8) Reorder the terms: 28 + 4x = 2(8 + x) 28 + 4x = (8 * 2 + x * 2) 28 + 4x = (16 + 2x) Solving 28 + 4x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x 28 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 2x = 16 + 0 28 + 2x = 16 Add '-28' to each side of the equation. 28 + -28 + 2x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 16 + -28 2x = 16 + -28 Combine like terms: 16 + -28 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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