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Simplifying 3(8x + -7) = 251 + 8(x + -10) Reorder the terms: 3(-7 + 8x) = 251 + 8(x + -10) (-7 * 3 + 8x * 3) = 251 + 8(x + -10) (-21 + 24x) = 251 + 8(x + -10) Reorder the terms: -21 + 24x = 251 + 8(-10 + x) -21 + 24x = 251 + (-10 * 8 + x * 8) -21 + 24x = 251 + (-80 + 8x) Combine like terms: 251 + -80 = 171 -21 + 24x = 171 + 8x Solving -21 + 24x = 171 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 24x + -8x = 171 + 8x + -8x Combine like terms: 24x + -8x = 16x -21 + 16x = 171 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 16x = 171 + 0 -21 + 16x = 171 Add '21' to each side of the equation. -21 + 21 + 16x = 171 + 21 Combine like terms: -21 + 21 = 0 0 + 16x = 171 + 21 16x = 171 + 21 Combine like terms: 171 + 21 = 192 16x = 192 Divide each side by '16'. x = 12 Simplifying x = 12
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