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Simplifying 2 + -3(x + 5) = 4(x + -5) + 3 Reorder the terms: 2 + -3(5 + x) = 4(x + -5) + 3 2 + (5 * -3 + x * -3) = 4(x + -5) + 3 2 + (-15 + -3x) = 4(x + -5) + 3 Combine like terms: 2 + -15 = -13 -13 + -3x = 4(x + -5) + 3 Reorder the terms: -13 + -3x = 4(-5 + x) + 3 -13 + -3x = (-5 * 4 + x * 4) + 3 -13 + -3x = (-20 + 4x) + 3 Reorder the terms: -13 + -3x = -20 + 3 + 4x Combine like terms: -20 + 3 = -17 -13 + -3x = -17 + 4x Solving -13 + -3x = -17 + 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. -13 + -3x + -4x = -17 + 4x + -4x Combine like terms: -3x + -4x = -7x -13 + -7x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -7x = -17 + 0 -13 + -7x = -17 Add '13' to each side of the equation. -13 + 13 + -7x = -17 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = -17 + 13 -7x = -17 + 13 Combine like terms: -17 + 13 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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