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Simplifying -5x + -13 = 4 + 6(2x + 9) Reorder the terms: -13 + -5x = 4 + 6(2x + 9) Reorder the terms: -13 + -5x = 4 + 6(9 + 2x) -13 + -5x = 4 + (9 * 6 + 2x * 6) -13 + -5x = 4 + (54 + 12x) Combine like terms: 4 + 54 = 58 -13 + -5x = 58 + 12x Solving -13 + -5x = 58 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -13 + -5x + -12x = 58 + 12x + -12x Combine like terms: -5x + -12x = -17x -13 + -17x = 58 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -17x = 58 + 0 -13 + -17x = 58 Add '13' to each side of the equation. -13 + 13 + -17x = 58 + 13 Combine like terms: -13 + 13 = 0 0 + -17x = 58 + 13 -17x = 58 + 13 Combine like terms: 58 + 13 = 71 -17x = 71 Divide each side by '-17'. x = -4.176470588 Simplifying x = -4.176470588
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