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Simplifying 3(x + 1) + -5(x + -7) = 0 Reorder the terms: 3(1 + x) + -5(x + -7) = 0 (1 * 3 + x * 3) + -5(x + -7) = 0 (3 + 3x) + -5(x + -7) = 0 Reorder the terms: 3 + 3x + -5(-7 + x) = 0 3 + 3x + (-7 * -5 + x * -5) = 0 3 + 3x + (35 + -5x) = 0 Reorder the terms: 3 + 35 + 3x + -5x = 0 Combine like terms: 3 + 35 = 38 38 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 38 + -2x = 0 Solving 38 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -2x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 0 + -38 -2x = 0 + -38 Combine like terms: 0 + -38 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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