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Simplifying 5(3 + -2x) + -6(1 + -1x) = -4x + 9 (3 * 5 + -2x * 5) + -6(1 + -1x) = -4x + 9 (15 + -10x) + -6(1 + -1x) = -4x + 9 15 + -10x + (1 * -6 + -1x * -6) = -4x + 9 15 + -10x + (-6 + 6x) = -4x + 9 Reorder the terms: 15 + -6 + -10x + 6x = -4x + 9 Combine like terms: 15 + -6 = 9 9 + -10x + 6x = -4x + 9 Combine like terms: -10x + 6x = -4x 9 + -4x = -4x + 9 Reorder the terms: 9 + -4x = 9 + -4x Add '-9' to each side of the equation. 9 + -9 + -4x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 0 + -4x = 9 + -9 + -4x -4x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 -4x = 0 + -4x -4x = -4x Add '4x' to each side of the equation. -4x + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 0 = -4x + 4x Combine like terms: -4x + 4x = 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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