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Simplifying 4x + 1 = 7(x + -2) Reorder the terms: 1 + 4x = 7(x + -2) Reorder the terms: 1 + 4x = 7(-2 + x) 1 + 4x = (-2 * 7 + x * 7) 1 + 4x = (-14 + 7x) Solving 1 + 4x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 4x + -7x = -14 + 7x + -7x Combine like terms: 4x + -7x = -3x 1 + -3x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -3x = -14 + 0 1 + -3x = -14 Add '-1' to each side of the equation. 1 + -1 + -3x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -14 + -1 -3x = -14 + -1 Combine like terms: -14 + -1 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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