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Simplifying 4(x + -1) + 5 = 7x + 22 Reorder the terms: 4(-1 + x) + 5 = 7x + 22 (-1 * 4 + x * 4) + 5 = 7x + 22 (-4 + 4x) + 5 = 7x + 22 Reorder the terms: -4 + 5 + 4x = 7x + 22 Combine like terms: -4 + 5 = 1 1 + 4x = 7x + 22 Reorder the terms: 1 + 4x = 22 + 7x Solving 1 + 4x = 22 + 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 = 22 + 7x + -7x Combine like terms: 4x + -7x = -3x 1 + -3x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -3x = 22 + 0 1 + -3x = 22 Add '-1' to each side of the equation. 1 + -1 + -3x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 22 + -1 -3x = 22 + -1 Combine like terms: 22 + -1 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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