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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 = 58x -6 + 58x = -44 + -28x + 28x Combine like terms: -28x + 28x = 0 -6 + 58x = -44 + 0 -6 + 58x = -44 Add '6' to each side of the equation. -6 + 6 + 58x = -44 + 6 Combine like terms: -6 + 6 = 0 0 + 58x = -44 + 6 58x = -44 + 6 Combine like terms: -44 + 6 = -38 58x = -38 Divide each side by '58'. x = -0.6551724138 Simplifying x = -0.6551724138
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