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Simplifying 6x + -15 = 4 + -3(3x + -7) Reorder the terms: -15 + 6x = 4 + -3(3x + -7) Reorder the terms: -15 + 6x = 4 + -3(-7 + 3x) -15 + 6x = 4 + (-7 * -3 + 3x * -3) -15 + 6x = 4 + (21 + -9x) Combine like terms: 4 + 21 = 25 -15 + 6x = 25 + -9x Solving -15 + 6x = 25 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -15 + 6x + 9x = 25 + -9x + 9x Combine like terms: 6x + 9x = 15x -15 + 15x = 25 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 15x = 25 + 0 -15 + 15x = 25 Add '15' to each side of the equation. -15 + 15 + 15x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 25 + 15 15x = 25 + 15 Combine like terms: 25 + 15 = 40 15x = 40 Divide each side by '15'. x = 2.666666667 Simplifying x = 2.666666667
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