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Simplifying 3(x + 1) + -7 = 0.5x + 2(1.25x + -2) Reorder the terms: 3(1 + x) + -7 = 0.5x + 2(1.25x + -2) (1 * 3 + x * 3) + -7 = 0.5x + 2(1.25x + -2) (3 + 3x) + -7 = 0.5x + 2(1.25x + -2) Reorder the terms: 3 + -7 + 3x = 0.5x + 2(1.25x + -2) Combine like terms: 3 + -7 = -4 -4 + 3x = 0.5x + 2(1.25x + -2) Reorder the terms: -4 + 3x = 0.5x + 2(-2 + 1.25x) -4 + 3x = 0.5x + (-2 * 2 + 1.25x * 2) -4 + 3x = 0.5x + (-4 + 2.5x) Reorder the terms: -4 + 3x = -4 + 0.5x + 2.5x Combine like terms: 0.5x + 2.5x = 3x -4 + 3x = -4 + 3x Add '4' to each side of the equation. -4 + 4 + 3x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 0 + 3x = -4 + 4 + 3x 3x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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