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Simplifying 8(x + -2) + 2 = 6(2x + -7) Reorder the terms: 8(-2 + x) + 2 = 6(2x + -7) (-2 * 8 + x * 8) + 2 = 6(2x + -7) (-16 + 8x) + 2 = 6(2x + -7) Reorder the terms: -16 + 2 + 8x = 6(2x + -7) Combine like terms: -16 + 2 = -14 -14 + 8x = 6(2x + -7) Reorder the terms: -14 + 8x = 6(-7 + 2x) -14 + 8x = (-7 * 6 + 2x * 6) -14 + 8x = (-42 + 12x) Solving -14 + 8x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 8x + -12x = -42 + 12x + -12x Combine like terms: 8x + -12x = -4x -14 + -4x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -4x = -42 + 0 -14 + -4x = -42 Add '14' to each side of the equation. -14 + 14 + -4x = -42 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -42 + 14 -4x = -42 + 14 Combine like terms: -42 + 14 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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