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Simplifying 2(x + -3) + 0.50(7 + 2x) = 0.50 + 3(x + -1) Reorder the terms: 2(-3 + x) + 0.50(7 + 2x) = 0.50 + 3(x + -1) (-3 * 2 + x * 2) + 0.50(7 + 2x) = 0.50 + 3(x + -1) (-6 + 2x) + 0.50(7 + 2x) = 0.50 + 3(x + -1) -6 + 2x + (7 * 0.50 + 2x * 0.50) = 0.50 + 3(x + -1) -6 + 2x + (3.5 + 1x) = 0.50 + 3(x + -1) Reorder the terms: -6 + 3.5 + 2x + 1x = 0.50 + 3(x + -1) Combine like terms: -6 + 3.5 = -2.5 -2.5 + 2x + 1x = 0.50 + 3(x + -1) Combine like terms: 2x + 1x = 3x -2.5 + 3x = 0.50 + 3(x + -1) Reorder the terms: -2.5 + 3x = 0.50 + 3(-1 + x) -2.5 + 3x = 0.50 + (-1 * 3 + x * 3) -2.5 + 3x = 0.50 + (-3 + 3x) Combine like terms: 0.50 + -3 = -2.5 -2.5 + 3x = -2.5 + 3x Add '2.5' to each side of the equation. -2.5 + 2.5 + 3x = -2.5 + 2.5 + 3x Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 3x = -2.5 + 2.5 + 3x 3x = -2.5 + 2.5 + 3x Combine like terms: -2.5 + 2.5 = 0.0 3x = 0.0 + 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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