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Simplifying 6 + 4(4x + -4) = 7 + -4(2x + 1) Reorder the terms: 6 + 4(-4 + 4x) = 7 + -4(2x + 1) 6 + (-4 * 4 + 4x * 4) = 7 + -4(2x + 1) 6 + (-16 + 16x) = 7 + -4(2x + 1) Combine like terms: 6 + -16 = -10 -10 + 16x = 7 + -4(2x + 1) Reorder the terms: -10 + 16x = 7 + -4(1 + 2x) -10 + 16x = 7 + (1 * -4 + 2x * -4) -10 + 16x = 7 + (-4 + -8x) Combine like terms: 7 + -4 = 3 -10 + 16x = 3 + -8x Solving -10 + 16x = 3 + -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. -10 + 16x + 8x = 3 + -8x + 8x Combine like terms: 16x + 8x = 24x -10 + 24x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 24x = 3 + 0 -10 + 24x = 3 Add '10' to each side of the equation. -10 + 10 + 24x = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 24x = 3 + 10 24x = 3 + 10 Combine like terms: 3 + 10 = 13 24x = 13 Divide each side by '24'. x = 0.5416666667 Simplifying x = 0.5416666667
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