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Simplifying 7x + -5 = 4(x + 1) + 3x + -9 Reorder the terms: -5 + 7x = 4(x + 1) + 3x + -9 Reorder the terms: -5 + 7x = 4(1 + x) + 3x + -9 -5 + 7x = (1 * 4 + x * 4) + 3x + -9 -5 + 7x = (4 + 4x) + 3x + -9 Reorder the terms: -5 + 7x = 4 + -9 + 4x + 3x Combine like terms: 4 + -9 = -5 -5 + 7x = -5 + 4x + 3x Combine like terms: 4x + 3x = 7x -5 + 7x = -5 + 7x Add '5' to each side of the equation. -5 + 5 + 7x = -5 + 5 + 7x Combine like terms: -5 + 5 = 0 0 + 7x = -5 + 5 + 7x 7x = -5 + 5 + 7x Combine like terms: -5 + 5 = 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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