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Simplifying 2 + -3(x + -7) + 5x = 6x + -5 Reorder the terms: 2 + -3(-7 + x) + 5x = 6x + -5 2 + (-7 * -3 + x * -3) + 5x = 6x + -5 2 + (21 + -3x) + 5x = 6x + -5 Combine like terms: 2 + 21 = 23 23 + -3x + 5x = 6x + -5 Combine like terms: -3x + 5x = 2x 23 + 2x = 6x + -5 Reorder the terms: 23 + 2x = -5 + 6x Solving 23 + 2x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 23 + 2x + -6x = -5 + 6x + -6x Combine like terms: 2x + -6x = -4x 23 + -4x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + -4x = -5 + 0 23 + -4x = -5 Add '-23' to each side of the equation. 23 + -23 + -4x = -5 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = -5 + -23 -4x = -5 + -23 Combine like terms: -5 + -23 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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