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Simplifying 6x + -7 = 4x + -1(2x + -9) Reorder the terms: -7 + 6x = 4x + -1(2x + -9) Reorder the terms: -7 + 6x = 4x + -1(-9 + 2x) -7 + 6x = 4x + (-9 * -1 + 2x * -1) -7 + 6x = 4x + (9 + -2x) Reorder the terms: -7 + 6x = 9 + 4x + -2x Combine like terms: 4x + -2x = 2x -7 + 6x = 9 + 2x Solving -7 + 6x = 9 + 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. -7 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x -7 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 4x = 9 + 0 -7 + 4x = 9 Add '7' to each side of the equation. -7 + 7 + 4x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 9 + 7 4x = 9 + 7 Combine like terms: 9 + 7 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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