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Simplifying 2x + 8(x + -6) = 2(x + -16) Reorder the terms: 2x + 8(-6 + x) = 2(x + -16) 2x + (-6 * 8 + x * 8) = 2(x + -16) 2x + (-48 + 8x) = 2(x + -16) Reorder the terms: -48 + 2x + 8x = 2(x + -16) Combine like terms: 2x + 8x = 10x -48 + 10x = 2(x + -16) Reorder the terms: -48 + 10x = 2(-16 + x) -48 + 10x = (-16 * 2 + x * 2) -48 + 10x = (-32 + 2x) Solving -48 + 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. -48 + 10x + -2x = -32 + 2x + -2x Combine like terms: 10x + -2x = 8x -48 + 8x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 8x = -32 + 0 -48 + 8x = -32 Add '48' to each side of the equation. -48 + 48 + 8x = -32 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = -32 + 48 8x = -32 + 48 Combine like terms: -32 + 48 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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