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Simplifying 21 = 8(6 + -2x) + -7(x + -6) 21 = (6 * 8 + -2x * 8) + -7(x + -6) 21 = (48 + -16x) + -7(x + -6) Reorder the terms: 21 = 48 + -16x + -7(-6 + x) 21 = 48 + -16x + (-6 * -7 + x * -7) 21 = 48 + -16x + (42 + -7x) Reorder the terms: 21 = 48 + 42 + -16x + -7x Combine like terms: 48 + 42 = 90 21 = 90 + -16x + -7x Combine like terms: -16x + -7x = -23x 21 = 90 + -23x Solving 21 = 90 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 21 + 23x = 90 + -23x + 23x Combine like terms: -23x + 23x = 0 21 + 23x = 90 + 0 21 + 23x = 90 Add '-21' to each side of the equation. 21 + -21 + 23x = 90 + -21 Combine like terms: 21 + -21 = 0 0 + 23x = 90 + -21 23x = 90 + -21 Combine like terms: 90 + -21 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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