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Simplifying 2(5x + -3) = -4(x + 2) + -7 Reorder the terms: 2(-3 + 5x) = -4(x + 2) + -7 (-3 * 2 + 5x * 2) = -4(x + 2) + -7 (-6 + 10x) = -4(x + 2) + -7 Reorder the terms: -6 + 10x = -4(2 + x) + -7 -6 + 10x = (2 * -4 + x * -4) + -7 -6 + 10x = (-8 + -4x) + -7 Reorder the terms: -6 + 10x = -8 + -7 + -4x Combine like terms: -8 + -7 = -15 -6 + 10x = -15 + -4x Solving -6 + 10x = -15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 10x + 4x = -15 + -4x + 4x Combine like terms: 10x + 4x = 14x -6 + 14x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 14x = -15 + 0 -6 + 14x = -15 Add '6' to each side of the equation. -6 + 6 + 14x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = -15 + 6 14x = -15 + 6 Combine like terms: -15 + 6 = -9 14x = -9 Divide each side by '14'. x = -0.6428571429 Simplifying x = -0.6428571429
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