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Simplifying x + -1.5(x + 5) = -0.5(x + 1) + -7 Reorder the terms: x + -1.5(5 + x) = -0.5(x + 1) + -7 x + (5 * -1.5 + x * -1.5) = -0.5(x + 1) + -7 x + (-7.5 + -1.5x) = -0.5(x + 1) + -7 Reorder the terms: -7.5 + x + -1.5x = -0.5(x + 1) + -7 Combine like terms: x + -1.5x = -0.5x -7.5 + -0.5x = -0.5(x + 1) + -7 Reorder the terms: -7.5 + -0.5x = -0.5(1 + x) + -7 -7.5 + -0.5x = (1 * -0.5 + x * -0.5) + -7 -7.5 + -0.5x = (-0.5 + -0.5x) + -7 Reorder the terms: -7.5 + -0.5x = -0.5 + -7 + -0.5x Combine like terms: -0.5 + -7 = -7.5 -7.5 + -0.5x = -7.5 + -0.5x Add '7.5' to each side of the equation. -7.5 + 7.5 + -0.5x = -7.5 + 7.5 + -0.5x Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -0.5x = -7.5 + 7.5 + -0.5x -0.5x = -7.5 + 7.5 + -0.5x Combine like terms: -7.5 + 7.5 = 0.0 -0.5x = 0.0 + -0.5x -0.5x = -0.5x Add '0.5x' to each side of the equation. -0.5x + 0.5x = -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 0.0 = -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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