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Simplifying 6(-4x + 4) + -5(-2x + 8) = -9 + -7x Reorder the terms: 6(4 + -4x) + -5(-2x + 8) = -9 + -7x (4 * 6 + -4x * 6) + -5(-2x + 8) = -9 + -7x (24 + -24x) + -5(-2x + 8) = -9 + -7x Reorder the terms: 24 + -24x + -5(8 + -2x) = -9 + -7x 24 + -24x + (8 * -5 + -2x * -5) = -9 + -7x 24 + -24x + (-40 + 10x) = -9 + -7x Reorder the terms: 24 + -40 + -24x + 10x = -9 + -7x Combine like terms: 24 + -40 = -16 -16 + -24x + 10x = -9 + -7x Combine like terms: -24x + 10x = -14x -16 + -14x = -9 + -7x Solving -16 + -14x = -9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + -14x + 7x = -9 + -7x + 7x Combine like terms: -14x + 7x = -7x -16 + -7x = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + -7x = -9 + 0 -16 + -7x = -9 Add '16' to each side of the equation. -16 + 16 + -7x = -9 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = -9 + 16 -7x = -9 + 16 Combine like terms: -9 + 16 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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