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Simplifying 7(x + 3) = 4(x + -3) + 3(x + 11) Reorder the terms: 7(3 + x) = 4(x + -3) + 3(x + 11) (3 * 7 + x * 7) = 4(x + -3) + 3(x + 11) (21 + 7x) = 4(x + -3) + 3(x + 11) Reorder the terms: 21 + 7x = 4(-3 + x) + 3(x + 11) 21 + 7x = (-3 * 4 + x * 4) + 3(x + 11) 21 + 7x = (-12 + 4x) + 3(x + 11) Reorder the terms: 21 + 7x = -12 + 4x + 3(11 + x) 21 + 7x = -12 + 4x + (11 * 3 + x * 3) 21 + 7x = -12 + 4x + (33 + 3x) Reorder the terms: 21 + 7x = -12 + 33 + 4x + 3x Combine like terms: -12 + 33 = 21 21 + 7x = 21 + 4x + 3x Combine like terms: 4x + 3x = 7x 21 + 7x = 21 + 7x Add '-21' to each side of the equation. 21 + -21 + 7x = 21 + -21 + 7x Combine like terms: 21 + -21 = 0 0 + 7x = 21 + -21 + 7x 7x = 21 + -21 + 7x Combine like terms: 21 + -21 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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