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Simplifying 3 + 4(x + -4) = 10 + -8(x + -7) Reorder the terms: 3 + 4(-4 + x) = 10 + -8(x + -7) 3 + (-4 * 4 + x * 4) = 10 + -8(x + -7) 3 + (-16 + 4x) = 10 + -8(x + -7) Combine like terms: 3 + -16 = -13 -13 + 4x = 10 + -8(x + -7) Reorder the terms: -13 + 4x = 10 + -8(-7 + x) -13 + 4x = 10 + (-7 * -8 + x * -8) -13 + 4x = 10 + (56 + -8x) Combine like terms: 10 + 56 = 66 -13 + 4x = 66 + -8x Solving -13 + 4x = 66 + -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 + 4x + 8x = 66 + -8x + 8x Combine like terms: 4x + 8x = 12x -13 + 12x = 66 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 12x = 66 + 0 -13 + 12x = 66 Add '13' to each side of the equation. -13 + 13 + 12x = 66 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 66 + 13 12x = 66 + 13 Combine like terms: 66 + 13 = 79 12x = 79 Divide each side by '12'. x = 6.583333333 Simplifying x = 6.583333333
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