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Simplifying 6(x + -7) + 6 = 2x + -4 Reorder the terms: 6(-7 + x) + 6 = 2x + -4 (-7 * 6 + x * 6) + 6 = 2x + -4 (-42 + 6x) + 6 = 2x + -4 Reorder the terms: -42 + 6 + 6x = 2x + -4 Combine like terms: -42 + 6 = -36 -36 + 6x = 2x + -4 Reorder the terms: -36 + 6x = -4 + 2x Solving -36 + 6x = -4 + 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. -36 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x -36 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 4x = -4 + 0 -36 + 4x = -4 Add '36' to each side of the equation. -36 + 36 + 4x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -4 + 36 4x = -4 + 36 Combine like terms: -4 + 36 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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