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Simplifying 2 + -3(4x + 5) = x + 13 Reorder the terms: 2 + -3(5 + 4x) = x + 13 2 + (5 * -3 + 4x * -3) = x + 13 2 + (-15 + -12x) = x + 13 Combine like terms: 2 + -15 = -13 -13 + -12x = x + 13 Reorder the terms: -13 + -12x = 13 + x Solving -13 + -12x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -12x + -1x = 13 + x + -1x Combine like terms: -12x + -1x = -13x -13 + -13x = 13 + x + -1x Combine like terms: x + -1x = 0 -13 + -13x = 13 + 0 -13 + -13x = 13 Add '13' to each side of the equation. -13 + 13 + -13x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 13 + 13 -13x = 13 + 13 Combine like terms: 13 + 13 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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