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Simplifying 3(10x + -2) = -4(-7x + 11) Reorder the terms: 3(-2 + 10x) = -4(-7x + 11) (-2 * 3 + 10x * 3) = -4(-7x + 11) (-6 + 30x) = -4(-7x + 11) Reorder the terms: -6 + 30x = -4(11 + -7x) -6 + 30x = (11 * -4 + -7x * -4) -6 + 30x = (-44 + 28x) Solving -6 + 30x = -44 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -6 + 30x + -28x = -44 + 28x + -28x Combine like terms: 30x + -28x = 2x -6 + 2x = -44 + 28x + -28x Combine like terms: 28x + -28x = 0 -6 + 2x = -44 + 0 -6 + 2x = -44 Add '6' to each side of the equation. -6 + 6 + 2x = -44 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -44 + 6 2x = -44 + 6 Combine like terms: -44 + 6 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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