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Simplifying 3x + 4 + -5x = 6x + -7 + 8x Reorder the terms: 4 + 3x + -5x = 6x + -7 + 8x Combine like terms: 3x + -5x = -2x 4 + -2x = 6x + -7 + 8x Reorder the terms: 4 + -2x = -7 + 6x + 8x Combine like terms: 6x + 8x = 14x 4 + -2x = -7 + 14x Solving 4 + -2x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4 + -2x + -14x = -7 + 14x + -14x Combine like terms: -2x + -14x = -16x 4 + -16x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + -16x = -7 + 0 4 + -16x = -7 Add '-4' to each side of the equation. 4 + -4 + -16x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = -7 + -4 -16x = -7 + -4 Combine like terms: -7 + -4 = -11 -16x = -11 Divide each side by '-16'. x = 0.6875 Simplifying x = 0.6875
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