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Simplifying -7(x + -3) + 31 = 4(-3x + 6) + -5 Reorder the terms: -7(-3 + x) + 31 = 4(-3x + 6) + -5 (-3 * -7 + x * -7) + 31 = 4(-3x + 6) + -5 (21 + -7x) + 31 = 4(-3x + 6) + -5 Reorder the terms: 21 + 31 + -7x = 4(-3x + 6) + -5 Combine like terms: 21 + 31 = 52 52 + -7x = 4(-3x + 6) + -5 Reorder the terms: 52 + -7x = 4(6 + -3x) + -5 52 + -7x = (6 * 4 + -3x * 4) + -5 52 + -7x = (24 + -12x) + -5 Reorder the terms: 52 + -7x = 24 + -5 + -12x Combine like terms: 24 + -5 = 19 52 + -7x = 19 + -12x Solving 52 + -7x = 19 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 52 + -7x + 12x = 19 + -12x + 12x Combine like terms: -7x + 12x = 5x 52 + 5x = 19 + -12x + 12x Combine like terms: -12x + 12x = 0 52 + 5x = 19 + 0 52 + 5x = 19 Add '-52' to each side of the equation. 52 + -52 + 5x = 19 + -52 Combine like terms: 52 + -52 = 0 0 + 5x = 19 + -52 5x = 19 + -52 Combine like terms: 19 + -52 = -33 5x = -33 Divide each side by '5'. x = -6.6 Simplifying x = -6.6
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