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Simplifying 5(2x + -3) + -3x = 7(x + -2) + -1 Reorder the terms: 5(-3 + 2x) + -3x = 7(x + -2) + -1 (-3 * 5 + 2x * 5) + -3x = 7(x + -2) + -1 (-15 + 10x) + -3x = 7(x + -2) + -1 Combine like terms: 10x + -3x = 7x -15 + 7x = 7(x + -2) + -1 Reorder the terms: -15 + 7x = 7(-2 + x) + -1 -15 + 7x = (-2 * 7 + x * 7) + -1 -15 + 7x = (-14 + 7x) + -1 Reorder the terms: -15 + 7x = -14 + -1 + 7x Combine like terms: -14 + -1 = -15 -15 + 7x = -15 + 7x Add '15' to each side of the equation. -15 + 15 + 7x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 0 + 7x = -15 + 15 + 7x 7x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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