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Simplifying 16(x + -7) = (2x + -2) * 4 Reorder the terms: 16(-7 + x) = (2x + -2) * 4 (-7 * 16 + x * 16) = (2x + -2) * 4 (-112 + 16x) = (2x + -2) * 4 Reorder the terms: -112 + 16x = (-2 + 2x) * 4 Reorder the terms for easier multiplication: -112 + 16x = 4(-2 + 2x) -112 + 16x = (-2 * 4 + 2x * 4) -112 + 16x = (-8 + 8x) Solving -112 + 16x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -112 + 16x + -8x = -8 + 8x + -8x Combine like terms: 16x + -8x = 8x -112 + 8x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -112 + 8x = -8 + 0 -112 + 8x = -8 Add '112' to each side of the equation. -112 + 112 + 8x = -8 + 112 Combine like terms: -112 + 112 = 0 0 + 8x = -8 + 112 8x = -8 + 112 Combine like terms: -8 + 112 = 104 8x = 104 Divide each side by '8'. x = 13 Simplifying x = 13
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