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Simplifying 3x + -7 = 4(x + 8) Reorder the terms: -7 + 3x = 4(x + 8) Reorder the terms: -7 + 3x = 4(8 + x) -7 + 3x = (8 * 4 + x * 4) -7 + 3x = (32 + 4x) Solving -7 + 3x = 32 + 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. -7 + 3x + -4x = 32 + 4x + -4x Combine like terms: 3x + -4x = -1x -7 + -1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -1x = 32 + 0 -7 + -1x = 32 Add '7' to each side of the equation. -7 + 7 + -1x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 32 + 7 -1x = 32 + 7 Combine like terms: 32 + 7 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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