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Simplifying 6(5x + -5) + 5(7 + -4x) + -3(3x + 4) = -7 Reorder the terms: 6(-5 + 5x) + 5(7 + -4x) + -3(3x + 4) = -7 (-5 * 6 + 5x * 6) + 5(7 + -4x) + -3(3x + 4) = -7 (-30 + 30x) + 5(7 + -4x) + -3(3x + 4) = -7 -30 + 30x + (7 * 5 + -4x * 5) + -3(3x + 4) = -7 -30 + 30x + (35 + -20x) + -3(3x + 4) = -7 Reorder the terms: -30 + 30x + 35 + -20x + -3(4 + 3x) = -7 -30 + 30x + 35 + -20x + (4 * -3 + 3x * -3) = -7 -30 + 30x + 35 + -20x + (-12 + -9x) = -7 Reorder the terms: -30 + 35 + -12 + 30x + -20x + -9x = -7 Combine like terms: -30 + 35 = 5 5 + -12 + 30x + -20x + -9x = -7 Combine like terms: 5 + -12 = -7 -7 + 30x + -20x + -9x = -7 Combine like terms: 30x + -20x = 10x -7 + 10x + -9x = -7 Combine like terms: 10x + -9x = 1x -7 + 1x = -7 Add '7' to each side of the equation. -7 + 7 + 1x = -7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -7 + 7 1x = -7 + 7 Combine like terms: -7 + 7 = 0 1x = 0 Solving 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '1'. x = 0 Simplifying x = 0
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