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Simplifying 4(x + 1) = -3(x + -4) + 13 Reorder the terms: 4(1 + x) = -3(x + -4) + 13 (1 * 4 + x * 4) = -3(x + -4) + 13 (4 + 4x) = -3(x + -4) + 13 Reorder the terms: 4 + 4x = -3(-4 + x) + 13 4 + 4x = (-4 * -3 + x * -3) + 13 4 + 4x = (12 + -3x) + 13 Reorder the terms: 4 + 4x = 12 + 13 + -3x Combine like terms: 12 + 13 = 25 4 + 4x = 25 + -3x Solving 4 + 4x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 4x + 3x = 25 + -3x + 3x Combine like terms: 4x + 3x = 7x 4 + 7x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 7x = 25 + 0 4 + 7x = 25 Add '-4' to each side of the equation. 4 + -4 + 7x = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 25 + -4 7x = 25 + -4 Combine like terms: 25 + -4 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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