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Simplifying 3x + -6 + 2x = 4(2x + -2) + -7 Reorder the terms: -6 + 3x + 2x = 4(2x + -2) + -7 Combine like terms: 3x + 2x = 5x -6 + 5x = 4(2x + -2) + -7 Reorder the terms: -6 + 5x = 4(-2 + 2x) + -7 -6 + 5x = (-2 * 4 + 2x * 4) + -7 -6 + 5x = (-8 + 8x) + -7 Reorder the terms: -6 + 5x = -8 + -7 + 8x Combine like terms: -8 + -7 = -15 -6 + 5x = -15 + 8x Solving -6 + 5x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 5x + -8x = -15 + 8x + -8x Combine like terms: 5x + -8x = -3x -6 + -3x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -3x = -15 + 0 -6 + -3x = -15 Add '6' to each side of the equation. -6 + 6 + -3x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -15 + 6 -3x = -15 + 6 Combine like terms: -15 + 6 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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