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Simplifying 4(2x + -3) + 5 = 7x + -12 Reorder the terms: 4(-3 + 2x) + 5 = 7x + -12 (-3 * 4 + 2x * 4) + 5 = 7x + -12 (-12 + 8x) + 5 = 7x + -12 Reorder the terms: -12 + 5 + 8x = 7x + -12 Combine like terms: -12 + 5 = -7 -7 + 8x = 7x + -12 Reorder the terms: -7 + 8x = -12 + 7x Solving -7 + 8x = -12 + 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. -7 + 8x + -7x = -12 + 7x + -7x Combine like terms: 8x + -7x = 1x -7 + 1x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 1x = -12 + 0 -7 + 1x = -12 Add '7' to each side of the equation. -7 + 7 + 1x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -12 + 7 1x = -12 + 7 Combine like terms: -12 + 7 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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