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Simplifying -13 = 6(x + -6) + 5(-3x + -8) Reorder the terms: -13 = 6(-6 + x) + 5(-3x + -8) -13 = (-6 * 6 + x * 6) + 5(-3x + -8) -13 = (-36 + 6x) + 5(-3x + -8) Reorder the terms: -13 = -36 + 6x + 5(-8 + -3x) -13 = -36 + 6x + (-8 * 5 + -3x * 5) -13 = -36 + 6x + (-40 + -15x) Reorder the terms: -13 = -36 + -40 + 6x + -15x Combine like terms: -36 + -40 = -76 -13 = -76 + 6x + -15x Combine like terms: 6x + -15x = -9x -13 = -76 + -9x Solving -13 = -76 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -13 + 9x = -76 + -9x + 9x Combine like terms: -9x + 9x = 0 -13 + 9x = -76 + 0 -13 + 9x = -76 Add '13' to each side of the equation. -13 + 13 + 9x = -76 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = -76 + 13 9x = -76 + 13 Combine like terms: -76 + 13 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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