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Simplifying 4x + 9(x + -4) = 3(x + 0.5) + 1 Reorder the terms: 4x + 9(-4 + x) = 3(x + 0.5) + 1 4x + (-4 * 9 + x * 9) = 3(x + 0.5) + 1 4x + (-36 + 9x) = 3(x + 0.5) + 1 Reorder the terms: -36 + 4x + 9x = 3(x + 0.5) + 1 Combine like terms: 4x + 9x = 13x -36 + 13x = 3(x + 0.5) + 1 Reorder the terms: -36 + 13x = 3(0.5 + x) + 1 -36 + 13x = (0.5 * 3 + x * 3) + 1 -36 + 13x = (1.5 + 3x) + 1 Reorder the terms: -36 + 13x = 1.5 + 1 + 3x Combine like terms: 1.5 + 1 = 2.5 -36 + 13x = 2.5 + 3x Solving -36 + 13x = 2.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 13x + -3x = 2.5 + 3x + -3x Combine like terms: 13x + -3x = 10x -36 + 10x = 2.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 10x = 2.5 + 0 -36 + 10x = 2.5 Add '36' to each side of the equation. -36 + 36 + 10x = 2.5 + 36 Combine like terms: -36 + 36 = 0 0 + 10x = 2.5 + 36 10x = 2.5 + 36 Combine like terms: 2.5 + 36 = 38.5 10x = 38.5 Divide each side by '10'. x = 3.85 Simplifying x = 3.85
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