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Simplifying 4x + -45 = -7(x + -3) Reorder the terms: -45 + 4x = -7(x + -3) Reorder the terms: -45 + 4x = -7(-3 + x) -45 + 4x = (-3 * -7 + x * -7) -45 + 4x = (21 + -7x) Solving -45 + 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. -45 + 4x + 7x = 21 + -7x + 7x Combine like terms: 4x + 7x = 11x -45 + 11x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -45 + 11x = 21 + 0 -45 + 11x = 21 Add '45' to each side of the equation. -45 + 45 + 11x = 21 + 45 Combine like terms: -45 + 45 = 0 0 + 11x = 21 + 45 11x = 21 + 45 Combine like terms: 21 + 45 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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