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Simplifying 4[7 + -1(-2x + -1)] = 16x + 36 Reorder the terms: 4[7 + -1(-1 + -2x)] = 16x + 36 4[7 + (-1 * -1 + -2x * -1)] = 16x + 36 4[7 + (1 + 2x)] = 16x + 36 Combine like terms: 7 + 1 = 8 4[8 + 2x] = 16x + 36 [8 * 4 + 2x * 4] = 16x + 36 [32 + 8x] = 16x + 36 Reorder the terms: 32 + 8x = 36 + 16x Solving 32 + 8x = 36 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 32 + 8x + -16x = 36 + 16x + -16x Combine like terms: 8x + -16x = -8x 32 + -8x = 36 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -8x = 36 + 0 32 + -8x = 36 Add '-32' to each side of the equation. 32 + -32 + -8x = 36 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 36 + -32 -8x = 36 + -32 Combine like terms: 36 + -32 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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