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Simplifying 7(2x + -3) = 10(x + -1) + -31 Reorder the terms: 7(-3 + 2x) = 10(x + -1) + -31 (-3 * 7 + 2x * 7) = 10(x + -1) + -31 (-21 + 14x) = 10(x + -1) + -31 Reorder the terms: -21 + 14x = 10(-1 + x) + -31 -21 + 14x = (-1 * 10 + x * 10) + -31 -21 + 14x = (-10 + 10x) + -31 Reorder the terms: -21 + 14x = -10 + -31 + 10x Combine like terms: -10 + -31 = -41 -21 + 14x = -41 + 10x Solving -21 + 14x = -41 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 14x + -10x = -41 + 10x + -10x Combine like terms: 14x + -10x = 4x -21 + 4x = -41 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 4x = -41 + 0 -21 + 4x = -41 Add '21' to each side of the equation. -21 + 21 + 4x = -41 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -41 + 21 4x = -41 + 21 Combine like terms: -41 + 21 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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