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Simplifying 4(3x + 5) = 6(2x + 5) + -10 Reorder the terms: 4(5 + 3x) = 6(2x + 5) + -10 (5 * 4 + 3x * 4) = 6(2x + 5) + -10 (20 + 12x) = 6(2x + 5) + -10 Reorder the terms: 20 + 12x = 6(5 + 2x) + -10 20 + 12x = (5 * 6 + 2x * 6) + -10 20 + 12x = (30 + 12x) + -10 Reorder the terms: 20 + 12x = 30 + -10 + 12x Combine like terms: 30 + -10 = 20 20 + 12x = 20 + 12x Add '-20' to each side of the equation. 20 + -20 + 12x = 20 + -20 + 12x Combine like terms: 20 + -20 = 0 0 + 12x = 20 + -20 + 12x 12x = 20 + -20 + 12x Combine like terms: 20 + -20 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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