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Simplifying 3x + [-6x + -1(x + 4)] = 8x + 3(-15 + -8) Reorder the terms: 3x + [-6x + -1(4 + x)] = 8x + 3(-15 + -8) 3x + [-6x + (4 * -1 + x * -1)] = 8x + 3(-15 + -8) 3x + [-6x + (-4 + -1x)] = 8x + 3(-15 + -8) Reorder the terms: 3x + [-4 + -6x + -1x] = 8x + 3(-15 + -8) Combine like terms: -6x + -1x = -7x 3x + [-4 + -7x] = 8x + 3(-15 + -8) Remove brackets around [-4 + -7x] 3x + -4 + -7x = 8x + 3(-15 + -8) Reorder the terms: -4 + 3x + -7x = 8x + 3(-15 + -8) Combine like terms: 3x + -7x = -4x -4 + -4x = 8x + 3(-15 + -8) Combine like terms: -15 + -8 = -23 -4 + -4x = 8x + 3(-23) Multiply 3 * -23 -4 + -4x = 8x + -69 Reorder the terms: -4 + -4x = -69 + 8x Solving -4 + -4x = -69 + 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. -4 + -4x + -8x = -69 + 8x + -8x Combine like terms: -4x + -8x = -12x -4 + -12x = -69 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -12x = -69 + 0 -4 + -12x = -69 Add '4' to each side of the equation. -4 + 4 + -12x = -69 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = -69 + 4 -12x = -69 + 4 Combine like terms: -69 + 4 = -65 -12x = -65 Divide each side by '-12'. x = 5.416666667 Simplifying x = 5.416666667
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