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Simplifying 2(x + -6) + 4(x + -5) = 4(2x + 8) Reorder the terms: 2(-6 + x) + 4(x + -5) = 4(2x + 8) (-6 * 2 + x * 2) + 4(x + -5) = 4(2x + 8) (-12 + 2x) + 4(x + -5) = 4(2x + 8) Reorder the terms: -12 + 2x + 4(-5 + x) = 4(2x + 8) -12 + 2x + (-5 * 4 + x * 4) = 4(2x + 8) -12 + 2x + (-20 + 4x) = 4(2x + 8) Reorder the terms: -12 + -20 + 2x + 4x = 4(2x + 8) Combine like terms: -12 + -20 = -32 -32 + 2x + 4x = 4(2x + 8) Combine like terms: 2x + 4x = 6x -32 + 6x = 4(2x + 8) Reorder the terms: -32 + 6x = 4(8 + 2x) -32 + 6x = (8 * 4 + 2x * 4) -32 + 6x = (32 + 8x) Solving -32 + 6x = 32 + 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. -32 + 6x + -8x = 32 + 8x + -8x Combine like terms: 6x + -8x = -2x -32 + -2x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -2x = 32 + 0 -32 + -2x = 32 Add '32' to each side of the equation. -32 + 32 + -2x = 32 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 32 + 32 -2x = 32 + 32 Combine like terms: 32 + 32 = 64 -2x = 64 Divide each side by '-2'. x = -32 Simplifying x = -32
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