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Simplifying -5(2x + 3) + 8x + -9 = 6x + -8(x + 3) Reorder the terms: -5(3 + 2x) + 8x + -9 = 6x + -8(x + 3) (3 * -5 + 2x * -5) + 8x + -9 = 6x + -8(x + 3) (-15 + -10x) + 8x + -9 = 6x + -8(x + 3) Reorder the terms: -15 + -9 + -10x + 8x = 6x + -8(x + 3) Combine like terms: -15 + -9 = -24 -24 + -10x + 8x = 6x + -8(x + 3) Combine like terms: -10x + 8x = -2x -24 + -2x = 6x + -8(x + 3) Reorder the terms: -24 + -2x = 6x + -8(3 + x) -24 + -2x = 6x + (3 * -8 + x * -8) -24 + -2x = 6x + (-24 + -8x) Reorder the terms: -24 + -2x = -24 + 6x + -8x Combine like terms: 6x + -8x = -2x -24 + -2x = -24 + -2x Add '24' to each side of the equation. -24 + 24 + -2x = -24 + 24 + -2x Combine like terms: -24 + 24 = 0 0 + -2x = -24 + 24 + -2x -2x = -24 + 24 + -2x Combine like terms: -24 + 24 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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