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Simplifying 5(x + 3) + -4x = -3(x + -5) + 4x Reorder the terms: 5(3 + x) + -4x = -3(x + -5) + 4x (3 * 5 + x * 5) + -4x = -3(x + -5) + 4x (15 + 5x) + -4x = -3(x + -5) + 4x Combine like terms: 5x + -4x = 1x 15 + 1x = -3(x + -5) + 4x Reorder the terms: 15 + 1x = -3(-5 + x) + 4x 15 + 1x = (-5 * -3 + x * -3) + 4x 15 + 1x = (15 + -3x) + 4x Combine like terms: -3x + 4x = 1x 15 + 1x = 15 + 1x Add '-15' to each side of the equation. 15 + -15 + 1x = 15 + -15 + 1x Combine like terms: 15 + -15 = 0 0 + 1x = 15 + -15 + 1x 1x = 15 + -15 + 1x Combine like terms: 15 + -15 = 0 1x = 0 + 1x 1x = 1x Add '-1x' to each side of the equation. 1x + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 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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