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Simplifying 1 = 7(x + -7) + 3x Reorder the terms: 1 = 7(-7 + x) + 3x 1 = (-7 * 7 + x * 7) + 3x 1 = (-49 + 7x) + 3x Combine like terms: 7x + 3x = 10x 1 = -49 + 10x Solving 1 = -49 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + -10x = -49 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -10x = -49 + 0 1 + -10x = -49 Add '-1' to each side of the equation. 1 + -1 + -10x = -49 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = -49 + -1 -10x = -49 + -1 Combine like terms: -49 + -1 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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