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Simplifying 6x + -2(x + -7) = 2(x + -4) + 9 Reorder the terms: 6x + -2(-7 + x) = 2(x + -4) + 9 6x + (-7 * -2 + x * -2) = 2(x + -4) + 9 6x + (14 + -2x) = 2(x + -4) + 9 Reorder the terms: 14 + 6x + -2x = 2(x + -4) + 9 Combine like terms: 6x + -2x = 4x 14 + 4x = 2(x + -4) + 9 Reorder the terms: 14 + 4x = 2(-4 + x) + 9 14 + 4x = (-4 * 2 + x * 2) + 9 14 + 4x = (-8 + 2x) + 9 Reorder the terms: 14 + 4x = -8 + 9 + 2x Combine like terms: -8 + 9 = 1 14 + 4x = 1 + 2x Solving 14 + 4x = 1 + 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. 14 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 1 + 0 14 + 2x = 1 Add '-14' to each side of the equation. 14 + -14 + 2x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 1 + -14 2x = 1 + -14 Combine like terms: 1 + -14 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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