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Simplifying 3(x + -7) + 2 = 4x + 4 Reorder the terms: 3(-7 + x) + 2 = 4x + 4 (-7 * 3 + x * 3) + 2 = 4x + 4 (-21 + 3x) + 2 = 4x + 4 Reorder the terms: -21 + 2 + 3x = 4x + 4 Combine like terms: -21 + 2 = -19 -19 + 3x = 4x + 4 Reorder the terms: -19 + 3x = 4 + 4x Solving -19 + 3x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -19 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x -19 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + -1x = 4 + 0 -19 + -1x = 4 Add '19' to each side of the equation. -19 + 19 + -1x = 4 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 4 + 19 -1x = 4 + 19 Combine like terms: 4 + 19 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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