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Simplifying 7(x + 1) = 14 + 3(x + -4) Reorder the terms: 7(1 + x) = 14 + 3(x + -4) (1 * 7 + x * 7) = 14 + 3(x + -4) (7 + 7x) = 14 + 3(x + -4) Reorder the terms: 7 + 7x = 14 + 3(-4 + x) 7 + 7x = 14 + (-4 * 3 + x * 3) 7 + 7x = 14 + (-12 + 3x) Combine like terms: 14 + -12 = 2 7 + 7x = 2 + 3x Solving 7 + 7x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x 7 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 4x = 2 + 0 7 + 4x = 2 Add '-7' to each side of the equation. 7 + -7 + 4x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 2 + -7 4x = 2 + -7 Combine like terms: 2 + -7 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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