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Simplifying 4x + -7 = 3(4x + 8) Reorder the terms: -7 + 4x = 3(4x + 8) Reorder the terms: -7 + 4x = 3(8 + 4x) -7 + 4x = (8 * 3 + 4x * 3) -7 + 4x = (24 + 12x) Solving -7 + 4x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -7 + 4x + -12x = 24 + 12x + -12x Combine like terms: 4x + -12x = -8x -7 + -8x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -8x = 24 + 0 -7 + -8x = 24 Add '7' to each side of the equation. -7 + 7 + -8x = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 24 + 7 -8x = 24 + 7 Combine like terms: 24 + 7 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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