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Simplifying 3 + 5(3x + -3) = 5 + 8(4x + 2) Reorder the terms: 3 + 5(-3 + 3x) = 5 + 8(4x + 2) 3 + (-3 * 5 + 3x * 5) = 5 + 8(4x + 2) 3 + (-15 + 15x) = 5 + 8(4x + 2) Combine like terms: 3 + -15 = -12 -12 + 15x = 5 + 8(4x + 2) Reorder the terms: -12 + 15x = 5 + 8(2 + 4x) -12 + 15x = 5 + (2 * 8 + 4x * 8) -12 + 15x = 5 + (16 + 32x) Combine like terms: 5 + 16 = 21 -12 + 15x = 21 + 32x Solving -12 + 15x = 21 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -12 + 15x + -32x = 21 + 32x + -32x Combine like terms: 15x + -32x = -17x -12 + -17x = 21 + 32x + -32x Combine like terms: 32x + -32x = 0 -12 + -17x = 21 + 0 -12 + -17x = 21 Add '12' to each side of the equation. -12 + 12 + -17x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -17x = 21 + 12 -17x = 21 + 12 Combine like terms: 21 + 12 = 33 -17x = 33 Divide each side by '-17'. x = -1.941176471 Simplifying x = -1.941176471
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