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Simplifying 6(x + -2) + -7 = 4x + 9 Reorder the terms: 6(-2 + x) + -7 = 4x + 9 (-2 * 6 + x * 6) + -7 = 4x + 9 (-12 + 6x) + -7 = 4x + 9 Reorder the terms: -12 + -7 + 6x = 4x + 9 Combine like terms: -12 + -7 = -19 -19 + 6x = 4x + 9 Reorder the terms: -19 + 6x = 9 + 4x Solving -19 + 6x = 9 + 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. -19 + 6x + -4x = 9 + 4x + -4x Combine like terms: 6x + -4x = 2x -19 + 2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + 2x = 9 + 0 -19 + 2x = 9 Add '19' to each side of the equation. -19 + 19 + 2x = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 9 + 19 2x = 9 + 19 Combine like terms: 9 + 19 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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