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Simplifying 4(4x + 1) = 3x + -4(6 + -1x) * 8 Reorder the terms: 4(1 + 4x) = 3x + -4(6 + -1x) * 8 (1 * 4 + 4x * 4) = 3x + -4(6 + -1x) * 8 (4 + 16x) = 3x + -4(6 + -1x) * 8 Reorder the terms for easier multiplication: 4 + 16x = 3x + -4 * 8(6 + -1x) Multiply -4 * 8 4 + 16x = 3x + -32(6 + -1x) 4 + 16x = 3x + (6 * -32 + -1x * -32) 4 + 16x = 3x + (-192 + 32x) Reorder the terms: 4 + 16x = -192 + 3x + 32x Combine like terms: 3x + 32x = 35x 4 + 16x = -192 + 35x Solving 4 + 16x = -192 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 4 + 16x + -35x = -192 + 35x + -35x Combine like terms: 16x + -35x = -19x 4 + -19x = -192 + 35x + -35x Combine like terms: 35x + -35x = 0 4 + -19x = -192 + 0 4 + -19x = -192 Add '-4' to each side of the equation. 4 + -4 + -19x = -192 + -4 Combine like terms: 4 + -4 = 0 0 + -19x = -192 + -4 -19x = -192 + -4 Combine like terms: -192 + -4 = -196 -19x = -196 Divide each side by '-19'. x = 10.31578947 Simplifying x = 10.31578947
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