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Simplifying 3(x + -5) + -2 = 4x + -10 Reorder the terms: 3(-5 + x) + -2 = 4x + -10 (-5 * 3 + x * 3) + -2 = 4x + -10 (-15 + 3x) + -2 = 4x + -10 Reorder the terms: -15 + -2 + 3x = 4x + -10 Combine like terms: -15 + -2 = -17 -17 + 3x = 4x + -10 Reorder the terms: -17 + 3x = -10 + 4x Solving -17 + 3x = -10 + 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. -17 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x -17 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + -1x = -10 + 0 -17 + -1x = -10 Add '17' to each side of the equation. -17 + 17 + -1x = -10 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -10 + 17 -1x = -10 + 17 Combine like terms: -10 + 17 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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