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Simplifying 8x + 7 + -3x = 45 + 6x Reorder the terms: 7 + 8x + -3x = 45 + 6x Combine like terms: 8x + -3x = 5x 7 + 5x = 45 + 6x Solving 7 + 5x = 45 + 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. 7 + 5x + -6x = 45 + 6x + -6x Combine like terms: 5x + -6x = -1x 7 + -1x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -1x = 45 + 0 7 + -1x = 45 Add '-7' to each side of the equation. 7 + -7 + -1x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 45 + -7 -1x = 45 + -7 Combine like terms: 45 + -7 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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