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Simplifying 7x + -9 = 3(2x + -6) + -1(4x + -7) Reorder the terms: -9 + 7x = 3(2x + -6) + -1(4x + -7) Reorder the terms: -9 + 7x = 3(-6 + 2x) + -1(4x + -7) -9 + 7x = (-6 * 3 + 2x * 3) + -1(4x + -7) -9 + 7x = (-18 + 6x) + -1(4x + -7) Reorder the terms: -9 + 7x = -18 + 6x + -1(-7 + 4x) -9 + 7x = -18 + 6x + (-7 * -1 + 4x * -1) -9 + 7x = -18 + 6x + (7 + -4x) Reorder the terms: -9 + 7x = -18 + 7 + 6x + -4x Combine like terms: -18 + 7 = -11 -9 + 7x = -11 + 6x + -4x Combine like terms: 6x + -4x = 2x -9 + 7x = -11 + 2x Solving -9 + 7x = -11 + 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. -9 + 7x + -2x = -11 + 2x + -2x Combine like terms: 7x + -2x = 5x -9 + 5x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 5x = -11 + 0 -9 + 5x = -11 Add '9' to each side of the equation. -9 + 9 + 5x = -11 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = -11 + 9 5x = -11 + 9 Combine like terms: -11 + 9 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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