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Simplifying (4x + 3) + -1(x + -4) = 5x + 13 Reorder the terms: (3 + 4x) + -1(x + -4) = 5x + 13 Remove parenthesis around (3 + 4x) 3 + 4x + -1(x + -4) = 5x + 13 Reorder the terms: 3 + 4x + -1(-4 + x) = 5x + 13 3 + 4x + (-4 * -1 + x * -1) = 5x + 13 3 + 4x + (4 + -1x) = 5x + 13 Reorder the terms: 3 + 4 + 4x + -1x = 5x + 13 Combine like terms: 3 + 4 = 7 7 + 4x + -1x = 5x + 13 Combine like terms: 4x + -1x = 3x 7 + 3x = 5x + 13 Reorder the terms: 7 + 3x = 13 + 5x Solving 7 + 3x = 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. 7 + 3x + -5x = 13 + 5x + -5x Combine like terms: 3x + -5x = -2x 7 + -2x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -2x = 13 + 0 7 + -2x = 13 Add '-7' to each side of the equation. 7 + -7 + -2x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 13 + -7 -2x = 13 + -7 Combine like terms: 13 + -7 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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