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Simplifying 6(4x + -4) + -5(x + 7) = -2 Reorder the terms: 6(-4 + 4x) + -5(x + 7) = -2 (-4 * 6 + 4x * 6) + -5(x + 7) = -2 (-24 + 24x) + -5(x + 7) = -2 Reorder the terms: -24 + 24x + -5(7 + x) = -2 -24 + 24x + (7 * -5 + x * -5) = -2 -24 + 24x + (-35 + -5x) = -2 Reorder the terms: -24 + -35 + 24x + -5x = -2 Combine like terms: -24 + -35 = -59 -59 + 24x + -5x = -2 Combine like terms: 24x + -5x = 19x -59 + 19x = -2 Solving -59 + 19x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 19x = -2 + 59 Combine like terms: -59 + 59 = 0 0 + 19x = -2 + 59 19x = -2 + 59 Combine like terms: -2 + 59 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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