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Simplifying 3x + -5(x + -2) = -7 + 4x + -31 Reorder the terms: 3x + -5(-2 + x) = -7 + 4x + -31 3x + (-2 * -5 + x * -5) = -7 + 4x + -31 3x + (10 + -5x) = -7 + 4x + -31 Reorder the terms: 10 + 3x + -5x = -7 + 4x + -31 Combine like terms: 3x + -5x = -2x 10 + -2x = -7 + 4x + -31 Reorder the terms: 10 + -2x = -7 + -31 + 4x Combine like terms: -7 + -31 = -38 10 + -2x = -38 + 4x Solving 10 + -2x = -38 + 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. 10 + -2x + -4x = -38 + 4x + -4x Combine like terms: -2x + -4x = -6x 10 + -6x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -6x = -38 + 0 10 + -6x = -38 Add '-10' to each side of the equation. 10 + -10 + -6x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -38 + -10 -6x = -38 + -10 Combine like terms: -38 + -10 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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