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Simplifying 16 + 4[5x + -4(x + 2)] = 7 + -2x Reorder the terms: 16 + 4[5x + -4(2 + x)] = 7 + -2x 16 + 4[5x + (2 * -4 + x * -4)] = 7 + -2x 16 + 4[5x + (-8 + -4x)] = 7 + -2x Reorder the terms: 16 + 4[-8 + 5x + -4x] = 7 + -2x Combine like terms: 5x + -4x = 1x 16 + 4[-8 + 1x] = 7 + -2x 16 + [-8 * 4 + 1x * 4] = 7 + -2x 16 + [-32 + 4x] = 7 + -2x Combine like terms: 16 + -32 = -16 -16 + 4x = 7 + -2x Solving -16 + 4x = 7 + -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. -16 + 4x + 2x = 7 + -2x + 2x Combine like terms: 4x + 2x = 6x -16 + 6x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 6x = 7 + 0 -16 + 6x = 7 Add '16' to each side of the equation. -16 + 16 + 6x = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 7 + 16 6x = 7 + 16 Combine like terms: 7 + 16 = 23 6x = 23 Divide each side by '6'. x = 3.833333333 Simplifying x = 3.833333333
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