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Simplifying 4[7 + -1(-4x + -3)] = 64x + 76 Reorder the terms: 4[7 + -1(-3 + -4x)] = 64x + 76 4[7 + (-3 * -1 + -4x * -1)] = 64x + 76 4[7 + (3 + 4x)] = 64x + 76 Combine like terms: 7 + 3 = 10 4[10 + 4x] = 64x + 76 [10 * 4 + 4x * 4] = 64x + 76 [40 + 16x] = 64x + 76 Reorder the terms: 40 + 16x = 76 + 64x Solving 40 + 16x = 76 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 40 + 16x + -64x = 76 + 64x + -64x Combine like terms: 16x + -64x = -48x 40 + -48x = 76 + 64x + -64x Combine like terms: 64x + -64x = 0 40 + -48x = 76 + 0 40 + -48x = 76 Add '-40' to each side of the equation. 40 + -40 + -48x = 76 + -40 Combine like terms: 40 + -40 = 0 0 + -48x = 76 + -40 -48x = 76 + -40 Combine like terms: 76 + -40 = 36 -48x = 36 Divide each side by '-48'. x = -0.75 Simplifying x = -0.75
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