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Simplifying 4[3(x + -5) + 7] = 12x + -32 Reorder the terms: 4[3(-5 + x) + 7] = 12x + -32 4[(-5 * 3 + x * 3) + 7] = 12x + -32 4[(-15 + 3x) + 7] = 12x + -32 Reorder the terms: 4[-15 + 7 + 3x] = 12x + -32 Combine like terms: -15 + 7 = -8 4[-8 + 3x] = 12x + -32 [-8 * 4 + 3x * 4] = 12x + -32 [-32 + 12x] = 12x + -32 Reorder the terms: -32 + 12x = -32 + 12x Add '32' to each side of the equation. -32 + 32 + 12x = -32 + 32 + 12x Combine like terms: -32 + 32 = 0 0 + 12x = -32 + 32 + 12x 12x = -32 + 32 + 12x Combine like terms: -32 + 32 = 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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