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Simplifying 3x + -8 = -2[5x + 3(x + -4)] Reorder the terms: -8 + 3x = -2[5x + 3(x + -4)] Reorder the terms: -8 + 3x = -2[5x + 3(-4 + x)] -8 + 3x = -2[5x + (-4 * 3 + x * 3)] -8 + 3x = -2[5x + (-12 + 3x)] Reorder the terms: -8 + 3x = -2[-12 + 5x + 3x] Combine like terms: 5x + 3x = 8x -8 + 3x = -2[-12 + 8x] -8 + 3x = [-12 * -2 + 8x * -2] -8 + 3x = [24 + -16x] Solving -8 + 3x = 24 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -8 + 3x + 16x = 24 + -16x + 16x Combine like terms: 3x + 16x = 19x -8 + 19x = 24 + -16x + 16x Combine like terms: -16x + 16x = 0 -8 + 19x = 24 + 0 -8 + 19x = 24 Add '8' to each side of the equation. -8 + 8 + 19x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 19x = 24 + 8 19x = 24 + 8 Combine like terms: 24 + 8 = 32 19x = 32 Divide each side by '19'. x = 1.684210526 Simplifying x = 1.684210526
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