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Simplifying 14[4 + -1(3 + -1x)] + 10x = 4(6x + 5) + -6 14[4 + (3 * -1 + -1x * -1)] + 10x = 4(6x + 5) + -6 14[4 + (-3 + 1x)] + 10x = 4(6x + 5) + -6 Combine like terms: 4 + -3 = 1 14[1 + 1x] + 10x = 4(6x + 5) + -6 [1 * 14 + 1x * 14] + 10x = 4(6x + 5) + -6 [14 + 14x] + 10x = 4(6x + 5) + -6 Combine like terms: 14x + 10x = 24x 14 + 24x = 4(6x + 5) + -6 Reorder the terms: 14 + 24x = 4(5 + 6x) + -6 14 + 24x = (5 * 4 + 6x * 4) + -6 14 + 24x = (20 + 24x) + -6 Reorder the terms: 14 + 24x = 20 + -6 + 24x Combine like terms: 20 + -6 = 14 14 + 24x = 14 + 24x Add '-14' to each side of the equation. 14 + -14 + 24x = 14 + -14 + 24x Combine like terms: 14 + -14 = 0 0 + 24x = 14 + -14 + 24x 24x = 14 + -14 + 24x Combine like terms: 14 + -14 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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