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Simplifying 5[x + -3(x + 7)] + 8 = 23 Reorder the terms: 5[x + -3(7 + x)] + 8 = 23 5[x + (7 * -3 + x * -3)] + 8 = 23 5[x + (-21 + -3x)] + 8 = 23 Reorder the terms: 5[-21 + x + -3x] + 8 = 23 Combine like terms: x + -3x = -2x 5[-21 + -2x] + 8 = 23 [-21 * 5 + -2x * 5] + 8 = 23 [-105 + -10x] + 8 = 23 Reorder the terms: -105 + 8 + -10x = 23 Combine like terms: -105 + 8 = -97 -97 + -10x = 23 Solving -97 + -10x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '97' to each side of the equation. -97 + 97 + -10x = 23 + 97 Combine like terms: -97 + 97 = 0 0 + -10x = 23 + 97 -10x = 23 + 97 Combine like terms: 23 + 97 = 120 -10x = 120 Divide each side by '-10'. x = -12 Simplifying x = -12
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