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Simplifying 4(2x + -1) + 3 = 3(x + -2) + 5(x + 1) Reorder the terms: 4(-1 + 2x) + 3 = 3(x + -2) + 5(x + 1) (-1 * 4 + 2x * 4) + 3 = 3(x + -2) + 5(x + 1) (-4 + 8x) + 3 = 3(x + -2) + 5(x + 1) Reorder the terms: -4 + 3 + 8x = 3(x + -2) + 5(x + 1) Combine like terms: -4 + 3 = -1 -1 + 8x = 3(x + -2) + 5(x + 1) Reorder the terms: -1 + 8x = 3(-2 + x) + 5(x + 1) -1 + 8x = (-2 * 3 + x * 3) + 5(x + 1) -1 + 8x = (-6 + 3x) + 5(x + 1) Reorder the terms: -1 + 8x = -6 + 3x + 5(1 + x) -1 + 8x = -6 + 3x + (1 * 5 + x * 5) -1 + 8x = -6 + 3x + (5 + 5x) Reorder the terms: -1 + 8x = -6 + 5 + 3x + 5x Combine like terms: -6 + 5 = -1 -1 + 8x = -1 + 3x + 5x Combine like terms: 3x + 5x = 8x -1 + 8x = -1 + 8x Add '1' to each side of the equation. -1 + 1 + 8x = -1 + 1 + 8x Combine like terms: -1 + 1 = 0 0 + 8x = -1 + 1 + 8x 8x = -1 + 1 + 8x Combine like terms: -1 + 1 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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