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Simplifying 4(x + 2) + -16 = 8x + -2(x + 7) Reorder the terms: 4(2 + x) + -16 = 8x + -2(x + 7) (2 * 4 + x * 4) + -16 = 8x + -2(x + 7) (8 + 4x) + -16 = 8x + -2(x + 7) Reorder the terms: 8 + -16 + 4x = 8x + -2(x + 7) Combine like terms: 8 + -16 = -8 -8 + 4x = 8x + -2(x + 7) Reorder the terms: -8 + 4x = 8x + -2(7 + x) -8 + 4x = 8x + (7 * -2 + x * -2) -8 + 4x = 8x + (-14 + -2x) Reorder the terms: -8 + 4x = -14 + 8x + -2x Combine like terms: 8x + -2x = 6x -8 + 4x = -14 + 6x Solving -8 + 4x = -14 + 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. -8 + 4x + -6x = -14 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = -14 + 0 -8 + -2x = -14 Add '8' to each side of the equation. -8 + 8 + -2x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -14 + 8 -2x = -14 + 8 Combine like terms: -14 + 8 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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