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Simplifying (4x + 3) + (8x + -11) = 10.5x + 4 Reorder the terms: (3 + 4x) + (8x + -11) = 10.5x + 4 Remove parenthesis around (3 + 4x) 3 + 4x + (8x + -11) = 10.5x + 4 Reorder the terms: 3 + 4x + (-11 + 8x) = 10.5x + 4 Remove parenthesis around (-11 + 8x) 3 + 4x + -11 + 8x = 10.5x + 4 Reorder the terms: 3 + -11 + 4x + 8x = 10.5x + 4 Combine like terms: 3 + -11 = -8 -8 + 4x + 8x = 10.5x + 4 Combine like terms: 4x + 8x = 12x -8 + 12x = 10.5x + 4 Reorder the terms: -8 + 12x = 4 + 10.5x Solving -8 + 12x = 4 + 10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5x' to each side of the equation. -8 + 12x + -10.5x = 4 + 10.5x + -10.5x Combine like terms: 12x + -10.5x = 1.5x -8 + 1.5x = 4 + 10.5x + -10.5x Combine like terms: 10.5x + -10.5x = 0.0 -8 + 1.5x = 4 + 0.0 -8 + 1.5x = 4 Add '8' to each side of the equation. -8 + 8 + 1.5x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 1.5x = 4 + 8 1.5x = 4 + 8 Combine like terms: 4 + 8 = 12 1.5x = 12 Divide each side by '1.5'. x = 8 Simplifying x = 8
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