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Simplifying -4(x + 3) + 5 = 3x + -7 Reorder the terms: -4(3 + x) + 5 = 3x + -7 (3 * -4 + x * -4) + 5 = 3x + -7 (-12 + -4x) + 5 = 3x + -7 Reorder the terms: -12 + 5 + -4x = 3x + -7 Combine like terms: -12 + 5 = -7 -7 + -4x = 3x + -7 Reorder the terms: -7 + -4x = -7 + 3x Add '7' to each side of the equation. -7 + 7 + -4x = -7 + 7 + 3x Combine like terms: -7 + 7 = 0 0 + -4x = -7 + 7 + 3x -4x = -7 + 7 + 3x Combine like terms: -7 + 7 = 0 -4x = 0 + 3x -4x = 3x Solving -4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4x + -3x = 3x + -3x Combine like terms: -4x + -3x = -7x -7x = 3x + -3x Combine like terms: 3x + -3x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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