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Simplifying -1(-4x + -3) = 7(x + 3) Reorder the terms: -1(-3 + -4x) = 7(x + 3) (-3 * -1 + -4x * -1) = 7(x + 3) (3 + 4x) = 7(x + 3) Reorder the terms: 3 + 4x = 7(3 + x) 3 + 4x = (3 * 7 + x * 7) 3 + 4x = (21 + 7x) Solving 3 + 4x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 4x + -7x = 21 + 7x + -7x Combine like terms: 4x + -7x = -3x 3 + -3x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -3x = 21 + 0 3 + -3x = 21 Add '-3' to each side of the equation. 3 + -3 + -3x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 21 + -3 -3x = 21 + -3 Combine like terms: 21 + -3 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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