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Simplifying 7(2x + 1) + -2 = 14(x + -2) + 33 Reorder the terms: 7(1 + 2x) + -2 = 14(x + -2) + 33 (1 * 7 + 2x * 7) + -2 = 14(x + -2) + 33 (7 + 14x) + -2 = 14(x + -2) + 33 Reorder the terms: 7 + -2 + 14x = 14(x + -2) + 33 Combine like terms: 7 + -2 = 5 5 + 14x = 14(x + -2) + 33 Reorder the terms: 5 + 14x = 14(-2 + x) + 33 5 + 14x = (-2 * 14 + x * 14) + 33 5 + 14x = (-28 + 14x) + 33 Reorder the terms: 5 + 14x = -28 + 33 + 14x Combine like terms: -28 + 33 = 5 5 + 14x = 5 + 14x Add '-5' to each side of the equation. 5 + -5 + 14x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 0 + 14x = 5 + -5 + 14x 14x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 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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