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Simplifying -2(7x + -4) + 3(5x + -4) + -3 = 7 + -3 Reorder the terms: -2(-4 + 7x) + 3(5x + -4) + -3 = 7 + -3 (-4 * -2 + 7x * -2) + 3(5x + -4) + -3 = 7 + -3 (8 + -14x) + 3(5x + -4) + -3 = 7 + -3 Reorder the terms: 8 + -14x + 3(-4 + 5x) + -3 = 7 + -3 8 + -14x + (-4 * 3 + 5x * 3) + -3 = 7 + -3 8 + -14x + (-12 + 15x) + -3 = 7 + -3 Reorder the terms: 8 + -12 + -3 + -14x + 15x = 7 + -3 Combine like terms: 8 + -12 = -4 -4 + -3 + -14x + 15x = 7 + -3 Combine like terms: -4 + -3 = -7 -7 + -14x + 15x = 7 + -3 Combine like terms: -14x + 15x = 1x -7 + 1x = 7 + -3 Combine like terms: 7 + -3 = 4 -7 + 1x = 4 Solving -7 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 4 + 7 1x = 4 + 7 Combine like terms: 4 + 7 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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