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Simplifying 2x + -10 + 7x = 5(3x + -3) + 2 Reorder the terms: -10 + 2x + 7x = 5(3x + -3) + 2 Combine like terms: 2x + 7x = 9x -10 + 9x = 5(3x + -3) + 2 Reorder the terms: -10 + 9x = 5(-3 + 3x) + 2 -10 + 9x = (-3 * 5 + 3x * 5) + 2 -10 + 9x = (-15 + 15x) + 2 Reorder the terms: -10 + 9x = -15 + 2 + 15x Combine like terms: -15 + 2 = -13 -10 + 9x = -13 + 15x Solving -10 + 9x = -13 + 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. -10 + 9x + -15x = -13 + 15x + -15x Combine like terms: 9x + -15x = -6x -10 + -6x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -6x = -13 + 0 -10 + -6x = -13 Add '10' to each side of the equation. -10 + 10 + -6x = -13 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -13 + 10 -6x = -13 + 10 Combine like terms: -13 + 10 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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