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Simplifying 3x + 8(x + -4) = 5x + 12(x + -4) + 7 Reorder the terms: 3x + 8(-4 + x) = 5x + 12(x + -4) + 7 3x + (-4 * 8 + x * 8) = 5x + 12(x + -4) + 7 3x + (-32 + 8x) = 5x + 12(x + -4) + 7 Reorder the terms: -32 + 3x + 8x = 5x + 12(x + -4) + 7 Combine like terms: 3x + 8x = 11x -32 + 11x = 5x + 12(x + -4) + 7 Reorder the terms: -32 + 11x = 5x + 12(-4 + x) + 7 -32 + 11x = 5x + (-4 * 12 + x * 12) + 7 -32 + 11x = 5x + (-48 + 12x) + 7 Reorder the terms: -32 + 11x = -48 + 7 + 5x + 12x Combine like terms: -48 + 7 = -41 -32 + 11x = -41 + 5x + 12x Combine like terms: 5x + 12x = 17x -32 + 11x = -41 + 17x Solving -32 + 11x = -41 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -32 + 11x + -17x = -41 + 17x + -17x Combine like terms: 11x + -17x = -6x -32 + -6x = -41 + 17x + -17x Combine like terms: 17x + -17x = 0 -32 + -6x = -41 + 0 -32 + -6x = -41 Add '32' to each side of the equation. -32 + 32 + -6x = -41 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = -41 + 32 -6x = -41 + 32 Combine like terms: -41 + 32 = -9 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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