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Simplifying 4 + -1(4x + 3) = 3x + -4(x + 5) Reorder the terms: 4 + -1(3 + 4x) = 3x + -4(x + 5) 4 + (3 * -1 + 4x * -1) = 3x + -4(x + 5) 4 + (-3 + -4x) = 3x + -4(x + 5) Combine like terms: 4 + -3 = 1 1 + -4x = 3x + -4(x + 5) Reorder the terms: 1 + -4x = 3x + -4(5 + x) 1 + -4x = 3x + (5 * -4 + x * -4) 1 + -4x = 3x + (-20 + -4x) Reorder the terms: 1 + -4x = -20 + 3x + -4x Combine like terms: 3x + -4x = -1x 1 + -4x = -20 + -1x Solving 1 + -4x = -20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + -4x + x = -20 + -1x + x Combine like terms: -4x + x = -3x 1 + -3x = -20 + -1x + x Combine like terms: -1x + x = 0 1 + -3x = -20 + 0 1 + -3x = -20 Add '-1' to each side of the equation. 1 + -1 + -3x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -20 + -1 -3x = -20 + -1 Combine like terms: -20 + -1 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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