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Simplifying 5 + -3(2x + 1) + 7(x + x + -2) = 0 Reorder the terms: 5 + -3(1 + 2x) + 7(x + x + -2) = 0 5 + (1 * -3 + 2x * -3) + 7(x + x + -2) = 0 5 + (-3 + -6x) + 7(x + x + -2) = 0 Reorder the terms: 5 + -3 + -6x + 7(-2 + x + x) = 0 Combine like terms: x + x = 2x 5 + -3 + -6x + 7(-2 + 2x) = 0 5 + -3 + -6x + (-2 * 7 + 2x * 7) = 0 5 + -3 + -6x + (-14 + 14x) = 0 Reorder the terms: 5 + -3 + -14 + -6x + 14x = 0 Combine like terms: 5 + -3 = 2 2 + -14 + -6x + 14x = 0 Combine like terms: 2 + -14 = -12 -12 + -6x + 14x = 0 Combine like terms: -6x + 14x = 8x -12 + 8x = 0 Solving -12 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 0 + 12 8x = 0 + 12 Combine like terms: 0 + 12 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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