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Simplifying [2 + 3(4x + -3)] = 8(x + 7) Reorder the terms: [2 + 3(-3 + 4x)] = 8(x + 7) [2 + (-3 * 3 + 4x * 3)] = 8(x + 7) [2 + (-9 + 12x)] = 8(x + 7) Combine like terms: 2 + -9 = -7 [-7 + 12x] = 8(x + 7) Remove brackets around [-7 + 12x] -7 + 12x = 8(x + 7) Reorder the terms: -7 + 12x = 8(7 + x) -7 + 12x = (7 * 8 + x * 8) -7 + 12x = (56 + 8x) Solving -7 + 12x = 56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 12x + -8x = 56 + 8x + -8x Combine like terms: 12x + -8x = 4x -7 + 4x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 4x = 56 + 0 -7 + 4x = 56 Add '7' to each side of the equation. -7 + 7 + 4x = 56 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 56 + 7 4x = 56 + 7 Combine like terms: 56 + 7 = 63 4x = 63 Divide each side by '4'. x = 15.75 Simplifying x = 15.75
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