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Simplifying 7 + -2(5 + -3x) = 4(x + -3x) + 5 7 + (5 * -2 + -3x * -2) = 4(x + -3x) + 5 7 + (-10 + 6x) = 4(x + -3x) + 5 Combine like terms: 7 + -10 = -3 -3 + 6x = 4(x + -3x) + 5 Combine like terms: x + -3x = -2x -3 + 6x = 4(-2x) + 5 Remove parenthesis around (-2x) -3 + 6x = 4 * -2x + 5 Multiply 4 * -2 -3 + 6x = -8x + 5 Reorder the terms: -3 + 6x = 5 + -8x Solving -3 + 6x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 6x + 8x = 5 + -8x + 8x Combine like terms: 6x + 8x = 14x -3 + 14x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 14x = 5 + 0 -3 + 14x = 5 Add '3' to each side of the equation. -3 + 3 + 14x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 5 + 3 14x = 5 + 3 Combine like terms: 5 + 3 = 8 14x = 8 Divide each side by '14'. x = 0.5714285714 Simplifying x = 0.5714285714
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