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Simplifying 7(3x + -1) = 5 + 4(x + -3) Reorder the terms: 7(-1 + 3x) = 5 + 4(x + -3) (-1 * 7 + 3x * 7) = 5 + 4(x + -3) (-7 + 21x) = 5 + 4(x + -3) Reorder the terms: -7 + 21x = 5 + 4(-3 + x) -7 + 21x = 5 + (-3 * 4 + x * 4) -7 + 21x = 5 + (-12 + 4x) Combine like terms: 5 + -12 = -7 -7 + 21x = -7 + 4x Add '7' to each side of the equation. -7 + 7 + 21x = -7 + 7 + 4x Combine like terms: -7 + 7 = 0 0 + 21x = -7 + 7 + 4x 21x = -7 + 7 + 4x Combine like terms: -7 + 7 = 0 21x = 0 + 4x 21x = 4x Solving 21x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21x + -4x = 4x + -4x Combine like terms: 21x + -4x = 17x 17x = 4x + -4x Combine like terms: 4x + -4x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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