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Simplifying 2x + 8(x + -7) = 2(x + -16) Reorder the terms: 2x + 8(-7 + x) = 2(x + -16) 2x + (-7 * 8 + x * 8) = 2(x + -16) 2x + (-56 + 8x) = 2(x + -16) Reorder the terms: -56 + 2x + 8x = 2(x + -16) Combine like terms: 2x + 8x = 10x -56 + 10x = 2(x + -16) Reorder the terms: -56 + 10x = 2(-16 + x) -56 + 10x = (-16 * 2 + x * 2) -56 + 10x = (-32 + 2x) Solving -56 + 10x = -32 + 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. -56 + 10x + -2x = -32 + 2x + -2x Combine like terms: 10x + -2x = 8x -56 + 8x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 8x = -32 + 0 -56 + 8x = -32 Add '56' to each side of the equation. -56 + 56 + 8x = -32 + 56 Combine like terms: -56 + 56 = 0 0 + 8x = -32 + 56 8x = -32 + 56 Combine like terms: -32 + 56 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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