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Simplifying 3(5 + -7x) + -4 = -4(4x + 1) (5 * 3 + -7x * 3) + -4 = -4(4x + 1) (15 + -21x) + -4 = -4(4x + 1) Reorder the terms: 15 + -4 + -21x = -4(4x + 1) Combine like terms: 15 + -4 = 11 11 + -21x = -4(4x + 1) Reorder the terms: 11 + -21x = -4(1 + 4x) 11 + -21x = (1 * -4 + 4x * -4) 11 + -21x = (-4 + -16x) Solving 11 + -21x = -4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 11 + -21x + 16x = -4 + -16x + 16x Combine like terms: -21x + 16x = -5x 11 + -5x = -4 + -16x + 16x Combine like terms: -16x + 16x = 0 11 + -5x = -4 + 0 11 + -5x = -4 Add '-11' to each side of the equation. 11 + -11 + -5x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = -4 + -11 -5x = -4 + -11 Combine like terms: -4 + -11 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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