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Simplifying -1x + 5(x + -2) = x + (-3x + 74) Reorder the terms: -1x + 5(-2 + x) = x + (-3x + 74) -1x + (-2 * 5 + x * 5) = x + (-3x + 74) -1x + (-10 + 5x) = x + (-3x + 74) Reorder the terms: -10 + -1x + 5x = x + (-3x + 74) Combine like terms: -1x + 5x = 4x -10 + 4x = x + (-3x + 74) Reorder the terms: -10 + 4x = x + (74 + -3x) Remove parenthesis around (74 + -3x) -10 + 4x = x + 74 + -3x Reorder the terms: -10 + 4x = 74 + x + -3x Combine like terms: x + -3x = -2x -10 + 4x = 74 + -2x Solving -10 + 4x = 74 + -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. -10 + 4x + 2x = 74 + -2x + 2x Combine like terms: 4x + 2x = 6x -10 + 6x = 74 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 6x = 74 + 0 -10 + 6x = 74 Add '10' to each side of the equation. -10 + 10 + 6x = 74 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 74 + 10 6x = 74 + 10 Combine like terms: 74 + 10 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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