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Simplifying 8x + -3(x + -4) = 4(x + 3) + 28 Reorder the terms: 8x + -3(-4 + x) = 4(x + 3) + 28 8x + (-4 * -3 + x * -3) = 4(x + 3) + 28 8x + (12 + -3x) = 4(x + 3) + 28 Reorder the terms: 12 + 8x + -3x = 4(x + 3) + 28 Combine like terms: 8x + -3x = 5x 12 + 5x = 4(x + 3) + 28 Reorder the terms: 12 + 5x = 4(3 + x) + 28 12 + 5x = (3 * 4 + x * 4) + 28 12 + 5x = (12 + 4x) + 28 Reorder the terms: 12 + 5x = 12 + 28 + 4x Combine like terms: 12 + 28 = 40 12 + 5x = 40 + 4x Solving 12 + 5x = 40 + 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. 12 + 5x + -4x = 40 + 4x + -4x Combine like terms: 5x + -4x = 1x 12 + 1x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 1x = 40 + 0 12 + 1x = 40 Add '-12' to each side of the equation. 12 + -12 + 1x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 40 + -12 1x = 40 + -12 Combine like terms: 40 + -12 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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