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Simplifying 4[-4x + 2 + 6(x + 1)] = 2x + 5 Reorder the terms: 4[-4x + 2 + 6(1 + x)] = 2x + 5 4[-4x + 2 + (1 * 6 + x * 6)] = 2x + 5 4[-4x + 2 + (6 + 6x)] = 2x + 5 Reorder the terms: 4[2 + 6 + -4x + 6x] = 2x + 5 Combine like terms: 2 + 6 = 8 4[8 + -4x + 6x] = 2x + 5 Combine like terms: -4x + 6x = 2x 4[8 + 2x] = 2x + 5 [8 * 4 + 2x * 4] = 2x + 5 [32 + 8x] = 2x + 5 Reorder the terms: 32 + 8x = 5 + 2x Solving 32 + 8x = 5 + 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. 32 + 8x + -2x = 5 + 2x + -2x Combine like terms: 8x + -2x = 6x 32 + 6x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 6x = 5 + 0 32 + 6x = 5 Add '-32' to each side of the equation. 32 + -32 + 6x = 5 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = 5 + -32 6x = 5 + -32 Combine like terms: 5 + -32 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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