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Simplifying 10(3x + 4) + -5(4x + 9) = 2(5x + 4) + -13 Reorder the terms: 10(4 + 3x) + -5(4x + 9) = 2(5x + 4) + -13 (4 * 10 + 3x * 10) + -5(4x + 9) = 2(5x + 4) + -13 (40 + 30x) + -5(4x + 9) = 2(5x + 4) + -13 Reorder the terms: 40 + 30x + -5(9 + 4x) = 2(5x + 4) + -13 40 + 30x + (9 * -5 + 4x * -5) = 2(5x + 4) + -13 40 + 30x + (-45 + -20x) = 2(5x + 4) + -13 Reorder the terms: 40 + -45 + 30x + -20x = 2(5x + 4) + -13 Combine like terms: 40 + -45 = -5 -5 + 30x + -20x = 2(5x + 4) + -13 Combine like terms: 30x + -20x = 10x -5 + 10x = 2(5x + 4) + -13 Reorder the terms: -5 + 10x = 2(4 + 5x) + -13 -5 + 10x = (4 * 2 + 5x * 2) + -13 -5 + 10x = (8 + 10x) + -13 Reorder the terms: -5 + 10x = 8 + -13 + 10x Combine like terms: 8 + -13 = -5 -5 + 10x = -5 + 10x Add '5' to each side of the equation. -5 + 5 + 10x = -5 + 5 + 10x Combine like terms: -5 + 5 = 0 0 + 10x = -5 + 5 + 10x 10x = -5 + 5 + 10x Combine like terms: -5 + 5 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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