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Simplifying 4(2x + 1) + -3x + 6 = 5x + 10 Reorder the terms: 4(1 + 2x) + -3x + 6 = 5x + 10 (1 * 4 + 2x * 4) + -3x + 6 = 5x + 10 (4 + 8x) + -3x + 6 = 5x + 10 Reorder the terms: 4 + 6 + 8x + -3x = 5x + 10 Combine like terms: 4 + 6 = 10 10 + 8x + -3x = 5x + 10 Combine like terms: 8x + -3x = 5x 10 + 5x = 5x + 10 Reorder the terms: 10 + 5x = 10 + 5x Add '-10' to each side of the equation. 10 + -10 + 5x = 10 + -10 + 5x Combine like terms: 10 + -10 = 0 0 + 5x = 10 + -10 + 5x 5x = 10 + -10 + 5x Combine like terms: 10 + -10 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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