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Simplifying 12[5 + -1(4 + -1x)] + 3x = 3(5x + 5) + -3 12[5 + (4 * -1 + -1x * -1)] + 3x = 3(5x + 5) + -3 12[5 + (-4 + 1x)] + 3x = 3(5x + 5) + -3 Combine like terms: 5 + -4 = 1 12[1 + 1x] + 3x = 3(5x + 5) + -3 [1 * 12 + 1x * 12] + 3x = 3(5x + 5) + -3 [12 + 12x] + 3x = 3(5x + 5) + -3 Combine like terms: 12x + 3x = 15x 12 + 15x = 3(5x + 5) + -3 Reorder the terms: 12 + 15x = 3(5 + 5x) + -3 12 + 15x = (5 * 3 + 5x * 3) + -3 12 + 15x = (15 + 15x) + -3 Reorder the terms: 12 + 15x = 15 + -3 + 15x Combine like terms: 15 + -3 = 12 12 + 15x = 12 + 15x Add '-12' to each side of the equation. 12 + -12 + 15x = 12 + -12 + 15x Combine like terms: 12 + -12 = 0 0 + 15x = 12 + -12 + 15x 15x = 12 + -12 + 15x Combine like terms: 12 + -12 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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