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Simplifying 10 + -1(7x + -8) + 6x = 3x + 2(9 + -2x) Reorder the terms: 10 + -1(-8 + 7x) + 6x = 3x + 2(9 + -2x) 10 + (-8 * -1 + 7x * -1) + 6x = 3x + 2(9 + -2x) 10 + (8 + -7x) + 6x = 3x + 2(9 + -2x) Combine like terms: 10 + 8 = 18 18 + -7x + 6x = 3x + 2(9 + -2x) Combine like terms: -7x + 6x = -1x 18 + -1x = 3x + 2(9 + -2x) 18 + -1x = 3x + (9 * 2 + -2x * 2) 18 + -1x = 3x + (18 + -4x) Reorder the terms: 18 + -1x = 18 + 3x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = 18 + -1x Add '-18' to each side of the equation. 18 + -18 + -1x = 18 + -18 + -1x Combine like terms: 18 + -18 = 0 0 + -1x = 18 + -18 + -1x -1x = 18 + -18 + -1x Combine like terms: 18 + -18 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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