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Simplifying -2(x + 5) + 4 = 3(x + 4) + 1 Reorder the terms: -2(5 + x) + 4 = 3(x + 4) + 1 (5 * -2 + x * -2) + 4 = 3(x + 4) + 1 (-10 + -2x) + 4 = 3(x + 4) + 1 Reorder the terms: -10 + 4 + -2x = 3(x + 4) + 1 Combine like terms: -10 + 4 = -6 -6 + -2x = 3(x + 4) + 1 Reorder the terms: -6 + -2x = 3(4 + x) + 1 -6 + -2x = (4 * 3 + x * 3) + 1 -6 + -2x = (12 + 3x) + 1 Reorder the terms: -6 + -2x = 12 + 1 + 3x Combine like terms: 12 + 1 = 13 -6 + -2x = 13 + 3x Solving -6 + -2x = 13 + 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. -6 + -2x + -3x = 13 + 3x + -3x Combine like terms: -2x + -3x = -5x -6 + -5x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -5x = 13 + 0 -6 + -5x = 13 Add '6' to each side of the equation. -6 + 6 + -5x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 13 + 6 -5x = 13 + 6 Combine like terms: 13 + 6 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8
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