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Simplifying 13 + 4x = 5(-1x + 7) + -40 Reorder the terms: 13 + 4x = 5(7 + -1x) + -40 13 + 4x = (7 * 5 + -1x * 5) + -40 13 + 4x = (35 + -5x) + -40 Reorder the terms: 13 + 4x = 35 + -40 + -5x Combine like terms: 35 + -40 = -5 13 + 4x = -5 + -5x Solving 13 + 4x = -5 + -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 + 4x + 5x = -5 + -5x + 5x Combine like terms: 4x + 5x = 9x 13 + 9x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 9x = -5 + 0 13 + 9x = -5 Add '-13' to each side of the equation. 13 + -13 + 9x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = -5 + -13 9x = -5 + -13 Combine like terms: -5 + -13 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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