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Simplifying -2(4x + -3) + 3(3x + -3) + -5 = 4 + -7 Reorder the terms: -2(-3 + 4x) + 3(3x + -3) + -5 = 4 + -7 (-3 * -2 + 4x * -2) + 3(3x + -3) + -5 = 4 + -7 (6 + -8x) + 3(3x + -3) + -5 = 4 + -7 Reorder the terms: 6 + -8x + 3(-3 + 3x) + -5 = 4 + -7 6 + -8x + (-3 * 3 + 3x * 3) + -5 = 4 + -7 6 + -8x + (-9 + 9x) + -5 = 4 + -7 Reorder the terms: 6 + -9 + -5 + -8x + 9x = 4 + -7 Combine like terms: 6 + -9 = -3 -3 + -5 + -8x + 9x = 4 + -7 Combine like terms: -3 + -5 = -8 -8 + -8x + 9x = 4 + -7 Combine like terms: -8x + 9x = 1x -8 + 1x = 4 + -7 Combine like terms: 4 + -7 = -3 -8 + 1x = -3 Solving -8 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -3 + 8 1x = -3 + 8 Combine like terms: -3 + 8 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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