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Simplifying 10x + -13 = 4(2x + -5) + 2x + 7 Reorder the terms: -13 + 10x = 4(2x + -5) + 2x + 7 Reorder the terms: -13 + 10x = 4(-5 + 2x) + 2x + 7 -13 + 10x = (-5 * 4 + 2x * 4) + 2x + 7 -13 + 10x = (-20 + 8x) + 2x + 7 Reorder the terms: -13 + 10x = -20 + 7 + 8x + 2x Combine like terms: -20 + 7 = -13 -13 + 10x = -13 + 8x + 2x Combine like terms: 8x + 2x = 10x -13 + 10x = -13 + 10x Add '13' to each side of the equation. -13 + 13 + 10x = -13 + 13 + 10x Combine like terms: -13 + 13 = 0 0 + 10x = -13 + 13 + 10x 10x = -13 + 13 + 10x Combine like terms: -13 + 13 = 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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