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Simplifying 4(3x + 7) = 2(x + 20) + -5(3 + -2x) + 3 Reorder the terms: 4(7 + 3x) = 2(x + 20) + -5(3 + -2x) + 3 (7 * 4 + 3x * 4) = 2(x + 20) + -5(3 + -2x) + 3 (28 + 12x) = 2(x + 20) + -5(3 + -2x) + 3 Reorder the terms: 28 + 12x = 2(20 + x) + -5(3 + -2x) + 3 28 + 12x = (20 * 2 + x * 2) + -5(3 + -2x) + 3 28 + 12x = (40 + 2x) + -5(3 + -2x) + 3 28 + 12x = 40 + 2x + (3 * -5 + -2x * -5) + 3 28 + 12x = 40 + 2x + (-15 + 10x) + 3 Reorder the terms: 28 + 12x = 40 + -15 + 3 + 2x + 10x Combine like terms: 40 + -15 = 25 28 + 12x = 25 + 3 + 2x + 10x Combine like terms: 25 + 3 = 28 28 + 12x = 28 + 2x + 10x Combine like terms: 2x + 10x = 12x 28 + 12x = 28 + 12x Add '-28' to each side of the equation. 28 + -28 + 12x = 28 + -28 + 12x Combine like terms: 28 + -28 = 0 0 + 12x = 28 + -28 + 12x 12x = 28 + -28 + 12x Combine like terms: 28 + -28 = 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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