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Simplifying 3x + -5(4 + 4) = 2(x + -7) Combine like terms: 4 + 4 = 8 3x + -5(8) = 2(x + -7) Multiply -5 * 8 3x + -40 = 2(x + -7) Reorder the terms: -40 + 3x = 2(x + -7) Reorder the terms: -40 + 3x = 2(-7 + x) -40 + 3x = (-7 * 2 + x * 2) -40 + 3x = (-14 + 2x) Solving -40 + 3x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 3x + -2x = -14 + 2x + -2x Combine like terms: 3x + -2x = 1x -40 + 1x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 1x = -14 + 0 -40 + 1x = -14 Add '40' to each side of the equation. -40 + 40 + 1x = -14 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = -14 + 40 1x = -14 + 40 Combine like terms: -14 + 40 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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