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