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Simplifying 13x + 13 = 9(x + -4) + -3x Reorder the terms: 13 + 13x = 9(x + -4) + -3x Reorder the terms: 13 + 13x = 9(-4 + x) + -3x 13 + 13x = (-4 * 9 + x * 9) + -3x 13 + 13x = (-36 + 9x) + -3x Combine like terms: 9x + -3x = 6x 13 + 13x = -36 + 6x Solving 13 + 13x = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 13x + -6x = -36 + 6x + -6x Combine like terms: 13x + -6x = 7x 13 + 7x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 7x = -36 + 0 13 + 7x = -36 Add '-13' to each side of the equation. 13 + -13 + 7x = -36 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -36 + -13 7x = -36 + -13 Combine like terms: -36 + -13 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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