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Simplifying 3 + 8(x + -2) = 6 + -8(x + -7) Reorder the terms: 3 + 8(-2 + x) = 6 + -8(x + -7) 3 + (-2 * 8 + x * 8) = 6 + -8(x + -7) 3 + (-16 + 8x) = 6 + -8(x + -7) Combine like terms: 3 + -16 = -13 -13 + 8x = 6 + -8(x + -7) Reorder the terms: -13 + 8x = 6 + -8(-7 + x) -13 + 8x = 6 + (-7 * -8 + x * -8) -13 + 8x = 6 + (56 + -8x) Combine like terms: 6 + 56 = 62 -13 + 8x = 62 + -8x Solving -13 + 8x = 62 + -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. -13 + 8x + 8x = 62 + -8x + 8x Combine like terms: 8x + 8x = 16x -13 + 16x = 62 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 16x = 62 + 0 -13 + 16x = 62 Add '13' to each side of the equation. -13 + 13 + 16x = 62 + 13 Combine like terms: -13 + 13 = 0 0 + 16x = 62 + 13 16x = 62 + 13 Combine like terms: 62 + 13 = 75 16x = 75 Divide each side by '16'. x = 4.6875 Simplifying x = 4.6875
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