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Simplifying 5(2x + -4) + -1 = 3x + 7(x + -3) Reorder the terms: 5(-4 + 2x) + -1 = 3x + 7(x + -3) (-4 * 5 + 2x * 5) + -1 = 3x + 7(x + -3) (-20 + 10x) + -1 = 3x + 7(x + -3) Reorder the terms: -20 + -1 + 10x = 3x + 7(x + -3) Combine like terms: -20 + -1 = -21 -21 + 10x = 3x + 7(x + -3) Reorder the terms: -21 + 10x = 3x + 7(-3 + x) -21 + 10x = 3x + (-3 * 7 + x * 7) -21 + 10x = 3x + (-21 + 7x) Reorder the terms: -21 + 10x = -21 + 3x + 7x Combine like terms: 3x + 7x = 10x -21 + 10x = -21 + 10x Add '21' to each side of the equation. -21 + 21 + 10x = -21 + 21 + 10x Combine like terms: -21 + 21 = 0 0 + 10x = -21 + 21 + 10x 10x = -21 + 21 + 10x Combine like terms: -21 + 21 = 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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