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Simplifying 5x + -2(4x + -3) = 3x + -7 Reorder the terms: 5x + -2(-3 + 4x) = 3x + -7 5x + (-3 * -2 + 4x * -2) = 3x + -7 5x + (6 + -8x) = 3x + -7 Reorder the terms: 6 + 5x + -8x = 3x + -7 Combine like terms: 5x + -8x = -3x 6 + -3x = 3x + -7 Reorder the terms: 6 + -3x = -7 + 3x Solving 6 + -3x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -3x + -3x = -7 + 3x + -3x Combine like terms: -3x + -3x = -6x 6 + -6x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -6x = -7 + 0 6 + -6x = -7 Add '-6' to each side of the equation. 6 + -6 + -6x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -7 + -6 -6x = -7 + -6 Combine like terms: -7 + -6 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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