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Simplifying -7[4x + 2] = 5[2x + 1] Reorder the terms: -7[2 + 4x] = 5[2x + 1] [2 * -7 + 4x * -7] = 5[2x + 1] [-14 + -28x] = 5[2x + 1] Reorder the terms: -14 + -28x = 5[1 + 2x] -14 + -28x = [1 * 5 + 2x * 5] -14 + -28x = [5 + 10x] Solving -14 + -28x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + -28x + -10x = 5 + 10x + -10x Combine like terms: -28x + -10x = -38x -14 + -38x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -38x = 5 + 0 -14 + -38x = 5 Add '14' to each side of the equation. -14 + 14 + -38x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -38x = 5 + 14 -38x = 5 + 14 Combine like terms: 5 + 14 = 19 -38x = 19 Divide each side by '-38'. x = -0.5 Simplifying x = -0.5
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