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Simplifying 4(2x + -3) = 5 + -7x Reorder the terms: 4(-3 + 2x) = 5 + -7x (-3 * 4 + 2x * 4) = 5 + -7x (-12 + 8x) = 5 + -7x Solving -12 + 8x = 5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 8x + 7x = 5 + -7x + 7x Combine like terms: 8x + 7x = 15x -12 + 15x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 15x = 5 + 0 -12 + 15x = 5 Add '12' to each side of the equation. -12 + 12 + 15x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 5 + 12 15x = 5 + 12 Combine like terms: 5 + 12 = 17 15x = 17 Divide each side by '15'. x = 1.133333333 Simplifying x = 1.133333333
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