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Simplifying 4x + -1 = 7(x + 5) Reorder the terms: -1 + 4x = 7(x + 5) Reorder the terms: -1 + 4x = 7(5 + x) -1 + 4x = (5 * 7 + x * 7) -1 + 4x = (35 + 7x) Solving -1 + 4x = 35 + 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 = 35 + 7x + -7x Combine like terms: 4x + -7x = -3x -1 + -3x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -3x = 35 + 0 -1 + -3x = 35 Add '1' to each side of the equation. -1 + 1 + -3x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 35 + 1 -3x = 35 + 1 Combine like terms: 35 + 1 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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