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Simplifying 6x + 10(x + -5) = 7x + 4 + 9(x + -6) Reorder the terms: 6x + 10(-5 + x) = 7x + 4 + 9(x + -6) 6x + (-5 * 10 + x * 10) = 7x + 4 + 9(x + -6) 6x + (-50 + 10x) = 7x + 4 + 9(x + -6) Reorder the terms: -50 + 6x + 10x = 7x + 4 + 9(x + -6) Combine like terms: 6x + 10x = 16x -50 + 16x = 7x + 4 + 9(x + -6) Reorder the terms: -50 + 16x = 7x + 4 + 9(-6 + x) -50 + 16x = 7x + 4 + (-6 * 9 + x * 9) -50 + 16x = 7x + 4 + (-54 + 9x) Reorder the terms: -50 + 16x = 4 + -54 + 7x + 9x Combine like terms: 4 + -54 = -50 -50 + 16x = -50 + 7x + 9x Combine like terms: 7x + 9x = 16x -50 + 16x = -50 + 16x Add '50' to each side of the equation. -50 + 50 + 16x = -50 + 50 + 16x Combine like terms: -50 + 50 = 0 0 + 16x = -50 + 50 + 16x 16x = -50 + 50 + 16x Combine like terms: -50 + 50 = 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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