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Simplifying 1.5x + 4(x + -1) = 4(x + 3) + 1 Reorder the terms: 1.5x + 4(-1 + x) = 4(x + 3) + 1 1.5x + (-1 * 4 + x * 4) = 4(x + 3) + 1 1.5x + (-4 + 4x) = 4(x + 3) + 1 Reorder the terms: -4 + 1.5x + 4x = 4(x + 3) + 1 Combine like terms: 1.5x + 4x = 5.5x -4 + 5.5x = 4(x + 3) + 1 Reorder the terms: -4 + 5.5x = 4(3 + x) + 1 -4 + 5.5x = (3 * 4 + x * 4) + 1 -4 + 5.5x = (12 + 4x) + 1 Reorder the terms: -4 + 5.5x = 12 + 1 + 4x Combine like terms: 12 + 1 = 13 -4 + 5.5x = 13 + 4x Solving -4 + 5.5x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 5.5x + -4x = 13 + 4x + -4x Combine like terms: 5.5x + -4x = 1.5x -4 + 1.5x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 1.5x = 13 + 0 -4 + 1.5x = 13 Add '4' to each side of the equation. -4 + 4 + 1.5x = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 1.5x = 13 + 4 1.5x = 13 + 4 Combine like terms: 13 + 4 = 17 1.5x = 17 Divide each side by '1.5'. x = 11.33333333 Simplifying x = 11.33333333
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