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Simplifying 6(x + -5) + -3 = -5(-5x + 3) + -7x Reorder the terms: 6(-5 + x) + -3 = -5(-5x + 3) + -7x (-5 * 6 + x * 6) + -3 = -5(-5x + 3) + -7x (-30 + 6x) + -3 = -5(-5x + 3) + -7x Reorder the terms: -30 + -3 + 6x = -5(-5x + 3) + -7x Combine like terms: -30 + -3 = -33 -33 + 6x = -5(-5x + 3) + -7x Reorder the terms: -33 + 6x = -5(3 + -5x) + -7x -33 + 6x = (3 * -5 + -5x * -5) + -7x -33 + 6x = (-15 + 25x) + -7x Combine like terms: 25x + -7x = 18x -33 + 6x = -15 + 18x Solving -33 + 6x = -15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -33 + 6x + -18x = -15 + 18x + -18x Combine like terms: 6x + -18x = -12x -33 + -12x = -15 + 18x + -18x Combine like terms: 18x + -18x = 0 -33 + -12x = -15 + 0 -33 + -12x = -15 Add '33' to each side of the equation. -33 + 33 + -12x = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -12x = -15 + 33 -12x = -15 + 33 Combine like terms: -15 + 33 = 18 -12x = 18 Divide each side by '-12'. x = -1.5 Simplifying x = -1.5
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