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Simplifying 4x + -31 = 0.5(2x + -3 + 7) Reorder the terms: -31 + 4x = 0.5(2x + -3 + 7) Reorder the terms: -31 + 4x = 0.5(-3 + 7 + 2x) Combine like terms: -3 + 7 = 4 -31 + 4x = 0.5(4 + 2x) -31 + 4x = (4 * 0.5 + 2x * 0.5) -31 + 4x = (2 + 1x) Solving -31 + 4x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -31 + 4x + -1x = 2 + 1x + -1x Combine like terms: 4x + -1x = 3x -31 + 3x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -31 + 3x = 2 + 0 -31 + 3x = 2 Add '31' to each side of the equation. -31 + 31 + 3x = 2 + 31 Combine like terms: -31 + 31 = 0 0 + 3x = 2 + 31 3x = 2 + 31 Combine like terms: 2 + 31 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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