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Simplifying 2x + -6(x + 2) = 4(x + -7) Reorder the terms: 2x + -6(2 + x) = 4(x + -7) 2x + (2 * -6 + x * -6) = 4(x + -7) 2x + (-12 + -6x) = 4(x + -7) Reorder the terms: -12 + 2x + -6x = 4(x + -7) Combine like terms: 2x + -6x = -4x -12 + -4x = 4(x + -7) Reorder the terms: -12 + -4x = 4(-7 + x) -12 + -4x = (-7 * 4 + x * 4) -12 + -4x = (-28 + 4x) Solving -12 + -4x = -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. -12 + -4x + -4x = -28 + 4x + -4x Combine like terms: -4x + -4x = -8x -12 + -8x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -8x = -28 + 0 -12 + -8x = -28 Add '12' to each side of the equation. -12 + 12 + -8x = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -28 + 12 -8x = -28 + 12 Combine like terms: -28 + 12 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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