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Simplifying 7x + -5 = 6(x + -9) + 4 Reorder the terms: -5 + 7x = 6(x + -9) + 4 Reorder the terms: -5 + 7x = 6(-9 + x) + 4 -5 + 7x = (-9 * 6 + x * 6) + 4 -5 + 7x = (-54 + 6x) + 4 Reorder the terms: -5 + 7x = -54 + 4 + 6x Combine like terms: -54 + 4 = -50 -5 + 7x = -50 + 6x Solving -5 + 7x = -50 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 7x + -6x = -50 + 6x + -6x Combine like terms: 7x + -6x = 1x -5 + 1x = -50 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 1x = -50 + 0 -5 + 1x = -50 Add '5' to each side of the equation. -5 + 5 + 1x = -50 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -50 + 5 1x = -50 + 5 Combine like terms: -50 + 5 = -45 1x = -45 Divide each side by '1'. x = -45 Simplifying x = -45
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