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Simplifying 8(x + -2) + 2x = 10(x + 3) + -46 Reorder the terms: 8(-2 + x) + 2x = 10(x + 3) + -46 (-2 * 8 + x * 8) + 2x = 10(x + 3) + -46 (-16 + 8x) + 2x = 10(x + 3) + -46 Combine like terms: 8x + 2x = 10x -16 + 10x = 10(x + 3) + -46 Reorder the terms: -16 + 10x = 10(3 + x) + -46 -16 + 10x = (3 * 10 + x * 10) + -46 -16 + 10x = (30 + 10x) + -46 Reorder the terms: -16 + 10x = 30 + -46 + 10x Combine like terms: 30 + -46 = -16 -16 + 10x = -16 + 10x Add '16' to each side of the equation. -16 + 16 + 10x = -16 + 16 + 10x Combine like terms: -16 + 16 = 0 0 + 10x = -16 + 16 + 10x 10x = -16 + 16 + 10x Combine like terms: -16 + 16 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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