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Simplifying 3x + -4 + 6x = 3(5x + -3) + 2 Reorder the terms: -4 + 3x + 6x = 3(5x + -3) + 2 Combine like terms: 3x + 6x = 9x -4 + 9x = 3(5x + -3) + 2 Reorder the terms: -4 + 9x = 3(-3 + 5x) + 2 -4 + 9x = (-3 * 3 + 5x * 3) + 2 -4 + 9x = (-9 + 15x) + 2 Reorder the terms: -4 + 9x = -9 + 2 + 15x Combine like terms: -9 + 2 = -7 -4 + 9x = -7 + 15x Solving -4 + 9x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + 9x + -15x = -7 + 15x + -15x Combine like terms: 9x + -15x = -6x -4 + -6x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -6x = -7 + 0 -4 + -6x = -7 Add '4' to each side of the equation. -4 + 4 + -6x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -7 + 4 -6x = -7 + 4 Combine like terms: -7 + 4 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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