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Simplifying 3x + -10 = 5(1x + -4) Reorder the terms: -10 + 3x = 5(1x + -4) Reorder the terms: -10 + 3x = 5(-4 + 1x) -10 + 3x = (-4 * 5 + 1x * 5) -10 + 3x = (-20 + 5x) Solving -10 + 3x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 3x + -5x = -20 + 5x + -5x Combine like terms: 3x + -5x = -2x -10 + -2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -2x = -20 + 0 -10 + -2x = -20 Add '10' to each side of the equation. -10 + 10 + -2x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -20 + 10 -2x = -20 + 10 Combine like terms: -20 + 10 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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