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Simplifying 2(x + -5) = 4x + -3(x + 5) Reorder the terms: 2(-5 + x) = 4x + -3(x + 5) (-5 * 2 + x * 2) = 4x + -3(x + 5) (-10 + 2x) = 4x + -3(x + 5) Reorder the terms: -10 + 2x = 4x + -3(5 + x) -10 + 2x = 4x + (5 * -3 + x * -3) -10 + 2x = 4x + (-15 + -3x) Reorder the terms: -10 + 2x = -15 + 4x + -3x Combine like terms: 4x + -3x = 1x -10 + 2x = -15 + 1x Solving -10 + 2x = -15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 2x + -1x = -15 + 1x + -1x Combine like terms: 2x + -1x = 1x -10 + 1x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 1x = -15 + 0 -10 + 1x = -15 Add '10' to each side of the equation. -10 + 10 + 1x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -15 + 10 1x = -15 + 10 Combine like terms: -15 + 10 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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