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Simplifying 6x + -10 = 3x + 5 + 3(-2 + -5) Reorder the terms: -10 + 6x = 3x + 5 + 3(-2 + -5) Combine like terms: -2 + -5 = -7 -10 + 6x = 3x + 5 + 3(-7) Multiply 3 * -7 -10 + 6x = 3x + 5 + -21 Reorder the terms: -10 + 6x = 5 + -21 + 3x Combine like terms: 5 + -21 = -16 -10 + 6x = -16 + 3x Solving -10 + 6x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 6x + -3x = -16 + 3x + -3x Combine like terms: 6x + -3x = 3x -10 + 3x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 3x = -16 + 0 -10 + 3x = -16 Add '10' to each side of the equation. -10 + 10 + 3x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -16 + 10 3x = -16 + 10 Combine like terms: -16 + 10 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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