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Simplifying 2(3x + -10) + 7 = 6(2x + -10) + 5 Reorder the terms: 2(-10 + 3x) + 7 = 6(2x + -10) + 5 (-10 * 2 + 3x * 2) + 7 = 6(2x + -10) + 5 (-20 + 6x) + 7 = 6(2x + -10) + 5 Reorder the terms: -20 + 7 + 6x = 6(2x + -10) + 5 Combine like terms: -20 + 7 = -13 -13 + 6x = 6(2x + -10) + 5 Reorder the terms: -13 + 6x = 6(-10 + 2x) + 5 -13 + 6x = (-10 * 6 + 2x * 6) + 5 -13 + 6x = (-60 + 12x) + 5 Reorder the terms: -13 + 6x = -60 + 5 + 12x Combine like terms: -60 + 5 = -55 -13 + 6x = -55 + 12x Solving -13 + 6x = -55 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -13 + 6x + -12x = -55 + 12x + -12x Combine like terms: 6x + -12x = -6x -13 + -6x = -55 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -6x = -55 + 0 -13 + -6x = -55 Add '13' to each side of the equation. -13 + 13 + -6x = -55 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -55 + 13 -6x = -55 + 13 Combine like terms: -55 + 13 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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