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Simplifying 2(x + -2) + -60 = 6x + -8(x + 4) Reorder the terms: 2(-2 + x) + -60 = 6x + -8(x + 4) (-2 * 2 + x * 2) + -60 = 6x + -8(x + 4) (-4 + 2x) + -60 = 6x + -8(x + 4) Reorder the terms: -4 + -60 + 2x = 6x + -8(x + 4) Combine like terms: -4 + -60 = -64 -64 + 2x = 6x + -8(x + 4) Reorder the terms: -64 + 2x = 6x + -8(4 + x) -64 + 2x = 6x + (4 * -8 + x * -8) -64 + 2x = 6x + (-32 + -8x) Reorder the terms: -64 + 2x = -32 + 6x + -8x Combine like terms: 6x + -8x = -2x -64 + 2x = -32 + -2x Solving -64 + 2x = -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. -64 + 2x + 2x = -32 + -2x + 2x Combine like terms: 2x + 2x = 4x -64 + 4x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 -64 + 4x = -32 + 0 -64 + 4x = -32 Add '64' to each side of the equation. -64 + 64 + 4x = -32 + 64 Combine like terms: -64 + 64 = 0 0 + 4x = -32 + 64 4x = -32 + 64 Combine like terms: -32 + 64 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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