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Simplifying 4(12x + 16) = 10 + -3(x + -2) Reorder the terms: 4(16 + 12x) = 10 + -3(x + -2) (16 * 4 + 12x * 4) = 10 + -3(x + -2) (64 + 48x) = 10 + -3(x + -2) Reorder the terms: 64 + 48x = 10 + -3(-2 + x) 64 + 48x = 10 + (-2 * -3 + x * -3) 64 + 48x = 10 + (6 + -3x) Combine like terms: 10 + 6 = 16 64 + 48x = 16 + -3x Solving 64 + 48x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 64 + 48x + 3x = 16 + -3x + 3x Combine like terms: 48x + 3x = 51x 64 + 51x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 64 + 51x = 16 + 0 64 + 51x = 16 Add '-64' to each side of the equation. 64 + -64 + 51x = 16 + -64 Combine like terms: 64 + -64 = 0 0 + 51x = 16 + -64 51x = 16 + -64 Combine like terms: 16 + -64 = -48 51x = -48 Divide each side by '51'. x = -0.9411764706 Simplifying x = -0.9411764706
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