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Simplifying 5(-3x + -3) + -2(-1x + 5) = -116 Reorder the terms: 5(-3 + -3x) + -2(-1x + 5) = -116 (-3 * 5 + -3x * 5) + -2(-1x + 5) = -116 (-15 + -15x) + -2(-1x + 5) = -116 Reorder the terms: -15 + -15x + -2(5 + -1x) = -116 -15 + -15x + (5 * -2 + -1x * -2) = -116 -15 + -15x + (-10 + 2x) = -116 Reorder the terms: -15 + -10 + -15x + 2x = -116 Combine like terms: -15 + -10 = -25 -25 + -15x + 2x = -116 Combine like terms: -15x + 2x = -13x -25 + -13x = -116 Solving -25 + -13x = -116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -13x = -116 + 25 Combine like terms: -25 + 25 = 0 0 + -13x = -116 + 25 -13x = -116 + 25 Combine like terms: -116 + 25 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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