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Simplifying 4x + -3(2x + -5) = 7 + -2(x + -4) Reorder the terms: 4x + -3(-5 + 2x) = 7 + -2(x + -4) 4x + (-5 * -3 + 2x * -3) = 7 + -2(x + -4) 4x + (15 + -6x) = 7 + -2(x + -4) Reorder the terms: 15 + 4x + -6x = 7 + -2(x + -4) Combine like terms: 4x + -6x = -2x 15 + -2x = 7 + -2(x + -4) Reorder the terms: 15 + -2x = 7 + -2(-4 + x) 15 + -2x = 7 + (-4 * -2 + x * -2) 15 + -2x = 7 + (8 + -2x) Combine like terms: 7 + 8 = 15 15 + -2x = 15 + -2x Add '-15' to each side of the equation. 15 + -15 + -2x = 15 + -15 + -2x Combine like terms: 15 + -15 = 0 0 + -2x = 15 + -15 + -2x -2x = 15 + -15 + -2x Combine like terms: 15 + -15 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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