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Simplifying 8x + 4(x + -7) = 3(8 + -1x) + 12 Reorder the terms: 8x + 4(-7 + x) = 3(8 + -1x) + 12 8x + (-7 * 4 + x * 4) = 3(8 + -1x) + 12 8x + (-28 + 4x) = 3(8 + -1x) + 12 Reorder the terms: -28 + 8x + 4x = 3(8 + -1x) + 12 Combine like terms: 8x + 4x = 12x -28 + 12x = 3(8 + -1x) + 12 -28 + 12x = (8 * 3 + -1x * 3) + 12 -28 + 12x = (24 + -3x) + 12 Reorder the terms: -28 + 12x = 24 + 12 + -3x Combine like terms: 24 + 12 = 36 -28 + 12x = 36 + -3x Solving -28 + 12x = 36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 12x + 3x = 36 + -3x + 3x Combine like terms: 12x + 3x = 15x -28 + 15x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 15x = 36 + 0 -28 + 15x = 36 Add '28' to each side of the equation. -28 + 28 + 15x = 36 + 28 Combine like terms: -28 + 28 = 0 0 + 15x = 36 + 28 15x = 36 + 28 Combine like terms: 36 + 28 = 64 15x = 64 Divide each side by '15'. x = 4.266666667 Simplifying x = 4.266666667
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