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Simplifying 2(x + -6) + 8 = 4(x + 7) Reorder the terms: 2(-6 + x) + 8 = 4(x + 7) (-6 * 2 + x * 2) + 8 = 4(x + 7) (-12 + 2x) + 8 = 4(x + 7) Reorder the terms: -12 + 8 + 2x = 4(x + 7) Combine like terms: -12 + 8 = -4 -4 + 2x = 4(x + 7) Reorder the terms: -4 + 2x = 4(7 + x) -4 + 2x = (7 * 4 + x * 4) -4 + 2x = (28 + 4x) Solving -4 + 2x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 2x + -4x = 28 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = 28 + 0 -4 + -2x = 28 Add '4' to each side of the equation. -4 + 4 + -2x = 28 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 28 + 4 -2x = 28 + 4 Combine like terms: 28 + 4 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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