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Simplifying -6(x + 2) + 4x + 7 = 6x + 12 Reorder the terms: -6(2 + x) + 4x + 7 = 6x + 12 (2 * -6 + x * -6) + 4x + 7 = 6x + 12 (-12 + -6x) + 4x + 7 = 6x + 12 Reorder the terms: -12 + 7 + -6x + 4x = 6x + 12 Combine like terms: -12 + 7 = -5 -5 + -6x + 4x = 6x + 12 Combine like terms: -6x + 4x = -2x -5 + -2x = 6x + 12 Reorder the terms: -5 + -2x = 12 + 6x Solving -5 + -2x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x -5 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -8x = 12 + 0 -5 + -8x = 12 Add '5' to each side of the equation. -5 + 5 + -8x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 12 + 5 -8x = 12 + 5 Combine like terms: 12 + 5 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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