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Simplifying 5 + 4(x + -3) = 7 + -3(x + -7) Reorder the terms: 5 + 4(-3 + x) = 7 + -3(x + -7) 5 + (-3 * 4 + x * 4) = 7 + -3(x + -7) 5 + (-12 + 4x) = 7 + -3(x + -7) Combine like terms: 5 + -12 = -7 -7 + 4x = 7 + -3(x + -7) Reorder the terms: -7 + 4x = 7 + -3(-7 + x) -7 + 4x = 7 + (-7 * -3 + x * -3) -7 + 4x = 7 + (21 + -3x) Combine like terms: 7 + 21 = 28 -7 + 4x = 28 + -3x Solving -7 + 4x = 28 + -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. -7 + 4x + 3x = 28 + -3x + 3x Combine like terms: 4x + 3x = 7x -7 + 7x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 7x = 28 + 0 -7 + 7x = 28 Add '7' to each side of the equation. -7 + 7 + 7x = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 28 + 7 7x = 28 + 7 Combine like terms: 28 + 7 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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