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Simplifying 7 + -3(4x + 1) = 5x + -13 Reorder the terms: 7 + -3(1 + 4x) = 5x + -13 7 + (1 * -3 + 4x * -3) = 5x + -13 7 + (-3 + -12x) = 5x + -13 Combine like terms: 7 + -3 = 4 4 + -12x = 5x + -13 Reorder the terms: 4 + -12x = -13 + 5x Solving 4 + -12x = -13 + 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. 4 + -12x + -5x = -13 + 5x + -5x Combine like terms: -12x + -5x = -17x 4 + -17x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -17x = -13 + 0 4 + -17x = -13 Add '-4' to each side of the equation. 4 + -4 + -17x = -13 + -4 Combine like terms: 4 + -4 = 0 0 + -17x = -13 + -4 -17x = -13 + -4 Combine like terms: -13 + -4 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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