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Simplifying 3(x + -7) = 4x + -63 Reorder the terms: 3(-7 + x) = 4x + -63 (-7 * 3 + x * 3) = 4x + -63 (-21 + 3x) = 4x + -63 Reorder the terms: -21 + 3x = -63 + 4x Solving -21 + 3x = -63 + 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. -21 + 3x + -4x = -63 + 4x + -4x Combine like terms: 3x + -4x = -1x -21 + -1x = -63 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -1x = -63 + 0 -21 + -1x = -63 Add '21' to each side of the equation. -21 + 21 + -1x = -63 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -63 + 21 -1x = -63 + 21 Combine like terms: -63 + 21 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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