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Simplifying 6 + 3(5x + -7) = 4x + 7 Reorder the terms: 6 + 3(-7 + 5x) = 4x + 7 6 + (-7 * 3 + 5x * 3) = 4x + 7 6 + (-21 + 15x) = 4x + 7 Combine like terms: 6 + -21 = -15 -15 + 15x = 4x + 7 Reorder the terms: -15 + 15x = 7 + 4x Solving -15 + 15x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 15x + -4x = 7 + 4x + -4x Combine like terms: 15x + -4x = 11x -15 + 11x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 11x = 7 + 0 -15 + 11x = 7 Add '15' to each side of the equation. -15 + 15 + 11x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 7 + 15 11x = 7 + 15 Combine like terms: 7 + 15 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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