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Simplifying -4(x + 1) + -3x = -7(2x + -3) + 3 Reorder the terms: -4(1 + x) + -3x = -7(2x + -3) + 3 (1 * -4 + x * -4) + -3x = -7(2x + -3) + 3 (-4 + -4x) + -3x = -7(2x + -3) + 3 Combine like terms: -4x + -3x = -7x -4 + -7x = -7(2x + -3) + 3 Reorder the terms: -4 + -7x = -7(-3 + 2x) + 3 -4 + -7x = (-3 * -7 + 2x * -7) + 3 -4 + -7x = (21 + -14x) + 3 Reorder the terms: -4 + -7x = 21 + 3 + -14x Combine like terms: 21 + 3 = 24 -4 + -7x = 24 + -14x Solving -4 + -7x = 24 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -4 + -7x + 14x = 24 + -14x + 14x Combine like terms: -7x + 14x = 7x -4 + 7x = 24 + -14x + 14x Combine like terms: -14x + 14x = 0 -4 + 7x = 24 + 0 -4 + 7x = 24 Add '4' to each side of the equation. -4 + 4 + 7x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 24 + 4 7x = 24 + 4 Combine like terms: 24 + 4 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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