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Simplifying 2(x + -5) + 3x = 4(x + -6) + 1 Reorder the terms: 2(-5 + x) + 3x = 4(x + -6) + 1 (-5 * 2 + x * 2) + 3x = 4(x + -6) + 1 (-10 + 2x) + 3x = 4(x + -6) + 1 Combine like terms: 2x + 3x = 5x -10 + 5x = 4(x + -6) + 1 Reorder the terms: -10 + 5x = 4(-6 + x) + 1 -10 + 5x = (-6 * 4 + x * 4) + 1 -10 + 5x = (-24 + 4x) + 1 Reorder the terms: -10 + 5x = -24 + 1 + 4x Combine like terms: -24 + 1 = -23 -10 + 5x = -23 + 4x Solving -10 + 5x = -23 + 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. -10 + 5x + -4x = -23 + 4x + -4x Combine like terms: 5x + -4x = 1x -10 + 1x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 1x = -23 + 0 -10 + 1x = -23 Add '10' to each side of the equation. -10 + 10 + 1x = -23 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -23 + 10 1x = -23 + 10 Combine like terms: -23 + 10 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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