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Simplifying 2[3 + -1(4 + 3x)] + -10x = -6 + 2(2 + -8x) 2[3 + (4 * -1 + 3x * -1)] + -10x = -6 + 2(2 + -8x) 2[3 + (-4 + -3x)] + -10x = -6 + 2(2 + -8x) Combine like terms: 3 + -4 = -1 2[-1 + -3x] + -10x = -6 + 2(2 + -8x) [-1 * 2 + -3x * 2] + -10x = -6 + 2(2 + -8x) [-2 + -6x] + -10x = -6 + 2(2 + -8x) Combine like terms: -6x + -10x = -16x -2 + -16x = -6 + 2(2 + -8x) -2 + -16x = -6 + (2 * 2 + -8x * 2) -2 + -16x = -6 + (4 + -16x) Combine like terms: -6 + 4 = -2 -2 + -16x = -2 + -16x Add '2' to each side of the equation. -2 + 2 + -16x = -2 + 2 + -16x Combine like terms: -2 + 2 = 0 0 + -16x = -2 + 2 + -16x -16x = -2 + 2 + -16x Combine like terms: -2 + 2 = 0 -16x = 0 + -16x -16x = -16x Add '16x' to each side of the equation. -16x + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 0 = -16x + 16x Combine like terms: -16x + 16x = 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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