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Simplifying 4x + 3(x + -2) = 7(x + -2) + 8 Reorder the terms: 4x + 3(-2 + x) = 7(x + -2) + 8 4x + (-2 * 3 + x * 3) = 7(x + -2) + 8 4x + (-6 + 3x) = 7(x + -2) + 8 Reorder the terms: -6 + 4x + 3x = 7(x + -2) + 8 Combine like terms: 4x + 3x = 7x -6 + 7x = 7(x + -2) + 8 Reorder the terms: -6 + 7x = 7(-2 + x) + 8 -6 + 7x = (-2 * 7 + x * 7) + 8 -6 + 7x = (-14 + 7x) + 8 Reorder the terms: -6 + 7x = -14 + 8 + 7x Combine like terms: -14 + 8 = -6 -6 + 7x = -6 + 7x Add '6' to each side of the equation. -6 + 6 + 7x = -6 + 6 + 7x Combine like terms: -6 + 6 = 0 0 + 7x = -6 + 6 + 7x 7x = -6 + 6 + 7x Combine like terms: -6 + 6 = 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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