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Simplifying -13 = -4(x + -4) + 9(x + -6) Reorder the terms: -13 = -4(-4 + x) + 9(x + -6) -13 = (-4 * -4 + x * -4) + 9(x + -6) -13 = (16 + -4x) + 9(x + -6) Reorder the terms: -13 = 16 + -4x + 9(-6 + x) -13 = 16 + -4x + (-6 * 9 + x * 9) -13 = 16 + -4x + (-54 + 9x) Reorder the terms: -13 = 16 + -54 + -4x + 9x Combine like terms: 16 + -54 = -38 -13 = -38 + -4x + 9x Combine like terms: -4x + 9x = 5x -13 = -38 + 5x Solving -13 = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + -5x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -5x = -38 + 0 -13 + -5x = -38 Add '13' to each side of the equation. -13 + 13 + -5x = -38 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = -38 + 13 -5x = -38 + 13 Combine like terms: -38 + 13 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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