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Simplifying 2(x + -7) = -3(2x + 1) + -3 Reorder the terms: 2(-7 + x) = -3(2x + 1) + -3 (-7 * 2 + x * 2) = -3(2x + 1) + -3 (-14 + 2x) = -3(2x + 1) + -3 Reorder the terms: -14 + 2x = -3(1 + 2x) + -3 -14 + 2x = (1 * -3 + 2x * -3) + -3 -14 + 2x = (-3 + -6x) + -3 Reorder the terms: -14 + 2x = -3 + -3 + -6x Combine like terms: -3 + -3 = -6 -14 + 2x = -6 + -6x Solving -14 + 2x = -6 + -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. -14 + 2x + 6x = -6 + -6x + 6x Combine like terms: 2x + 6x = 8x -14 + 8x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 8x = -6 + 0 -14 + 8x = -6 Add '14' to each side of the equation. -14 + 14 + 8x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = -6 + 14 8x = -6 + 14 Combine like terms: -6 + 14 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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