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Simplifying 5 + -2(3x + 7) = 10 + -4x Reorder the terms: 5 + -2(7 + 3x) = 10 + -4x 5 + (7 * -2 + 3x * -2) = 10 + -4x 5 + (-14 + -6x) = 10 + -4x Combine like terms: 5 + -14 = -9 -9 + -6x = 10 + -4x Solving -9 + -6x = 10 + -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. -9 + -6x + 4x = 10 + -4x + 4x Combine like terms: -6x + 4x = -2x -9 + -2x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + -2x = 10 + 0 -9 + -2x = 10 Add '9' to each side of the equation. -9 + 9 + -2x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 10 + 9 -2x = 10 + 9 Combine like terms: 10 + 9 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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