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Simplifying 3(x + 5) + 7 = 5x + -4(2x + 12) + 5 Reorder the terms: 3(5 + x) + 7 = 5x + -4(2x + 12) + 5 (5 * 3 + x * 3) + 7 = 5x + -4(2x + 12) + 5 (15 + 3x) + 7 = 5x + -4(2x + 12) + 5 Reorder the terms: 15 + 7 + 3x = 5x + -4(2x + 12) + 5 Combine like terms: 15 + 7 = 22 22 + 3x = 5x + -4(2x + 12) + 5 Reorder the terms: 22 + 3x = 5x + -4(12 + 2x) + 5 22 + 3x = 5x + (12 * -4 + 2x * -4) + 5 22 + 3x = 5x + (-48 + -8x) + 5 Reorder the terms: 22 + 3x = -48 + 5 + 5x + -8x Combine like terms: -48 + 5 = -43 22 + 3x = -43 + 5x + -8x Combine like terms: 5x + -8x = -3x 22 + 3x = -43 + -3x Solving 22 + 3x = -43 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 22 + 3x + 3x = -43 + -3x + 3x Combine like terms: 3x + 3x = 6x 22 + 6x = -43 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 6x = -43 + 0 22 + 6x = -43 Add '-22' to each side of the equation. 22 + -22 + 6x = -43 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = -43 + -22 6x = -43 + -22 Combine like terms: -43 + -22 = -65 6x = -65 Divide each side by '6'. x = -10.83333333 Simplifying x = -10.83333333
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