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Simplifying 3x + 4x + -45 = 3x + -4x + 45 Reorder the terms: -45 + 3x + 4x = 3x + -4x + 45 Combine like terms: 3x + 4x = 7x -45 + 7x = 3x + -4x + 45 Reorder the terms: -45 + 7x = 45 + 3x + -4x Combine like terms: 3x + -4x = -1x -45 + 7x = 45 + -1x Solving -45 + 7x = 45 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + 7x + x = 45 + -1x + x Combine like terms: 7x + x = 8x -45 + 8x = 45 + -1x + x Combine like terms: -1x + x = 0 -45 + 8x = 45 + 0 -45 + 8x = 45 Add '45' to each side of the equation. -45 + 45 + 8x = 45 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = 45 + 45 8x = 45 + 45 Combine like terms: 45 + 45 = 90 8x = 90 Divide each side by '8'. x = 11.25 Simplifying x = 11.25
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