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Simplifying 2x + -3 = 15 + -6x + 3(2 + 3) Reorder the terms: -3 + 2x = 15 + -6x + 3(2 + 3) Combine like terms: 2 + 3 = 5 -3 + 2x = 15 + -6x + 3(5) Multiply 3 * 5 -3 + 2x = 15 + -6x + 15 Reorder the terms: -3 + 2x = 15 + 15 + -6x Combine like terms: 15 + 15 = 30 -3 + 2x = 30 + -6x Solving -3 + 2x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 2x + 6x = 30 + -6x + 6x Combine like terms: 2x + 6x = 8x -3 + 8x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 8x = 30 + 0 -3 + 8x = 30 Add '3' to each side of the equation. -3 + 3 + 8x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 30 + 3 8x = 30 + 3 Combine like terms: 30 + 3 = 33 8x = 33 Divide each side by '8'. x = 4.125 Simplifying x = 4.125
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