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Simplifying 4x + -6x + 8 = 5(2x + 3) + -7 Reorder the terms: 8 + 4x + -6x = 5(2x + 3) + -7 Combine like terms: 4x + -6x = -2x 8 + -2x = 5(2x + 3) + -7 Reorder the terms: 8 + -2x = 5(3 + 2x) + -7 8 + -2x = (3 * 5 + 2x * 5) + -7 8 + -2x = (15 + 10x) + -7 Reorder the terms: 8 + -2x = 15 + -7 + 10x Combine like terms: 15 + -7 = 8 8 + -2x = 8 + 10x Add '-8' to each side of the equation. 8 + -8 + -2x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 0 + -2x = 8 + -8 + 10x -2x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 -2x = 0 + 10x -2x = 10x Solving -2x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2x + -10x = 10x + -10x Combine like terms: -2x + -10x = -12x -12x = 10x + -10x Combine like terms: 10x + -10x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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