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Simplifying -10.5(4 + -3x) = 11(4x + 3) (4 * -10.5 + -3x * -10.5) = 11(4x + 3) (-42 + 31.5x) = 11(4x + 3) Reorder the terms: -42 + 31.5x = 11(3 + 4x) -42 + 31.5x = (3 * 11 + 4x * 11) -42 + 31.5x = (33 + 44x) Solving -42 + 31.5x = 33 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. -42 + 31.5x + -44x = 33 + 44x + -44x Combine like terms: 31.5x + -44x = -12.5x -42 + -12.5x = 33 + 44x + -44x Combine like terms: 44x + -44x = 0 -42 + -12.5x = 33 + 0 -42 + -12.5x = 33 Add '42' to each side of the equation. -42 + 42 + -12.5x = 33 + 42 Combine like terms: -42 + 42 = 0 0 + -12.5x = 33 + 42 -12.5x = 33 + 42 Combine like terms: 33 + 42 = 75 -12.5x = 75 Divide each side by '-12.5'. x = -6 Simplifying x = -6
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