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Simplifying 4(2x + -7 + 0.5x) + 5x + -3 = 11 Reorder the terms: 4(-7 + 2x + 0.5x) + 5x + -3 = 11 Combine like terms: 2x + 0.5x = 2.5x 4(-7 + 2.5x) + 5x + -3 = 11 (-7 * 4 + 2.5x * 4) + 5x + -3 = 11 (-28 + 10x) + 5x + -3 = 11 Reorder the terms: -28 + -3 + 10x + 5x = 11 Combine like terms: -28 + -3 = -31 -31 + 10x + 5x = 11 Combine like terms: 10x + 5x = 15x -31 + 15x = 11 Solving -31 + 15x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 15x = 11 + 31 Combine like terms: -31 + 31 = 0 0 + 15x = 11 + 31 15x = 11 + 31 Combine like terms: 11 + 31 = 42 15x = 42 Divide each side by '15'. x = 2.8 Simplifying x = 2.8
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