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Simplifying 3(2x + -7) = 5(6x + 15) Reorder the terms: 3(-7 + 2x) = 5(6x + 15) (-7 * 3 + 2x * 3) = 5(6x + 15) (-21 + 6x) = 5(6x + 15) Reorder the terms: -21 + 6x = 5(15 + 6x) -21 + 6x = (15 * 5 + 6x * 5) -21 + 6x = (75 + 30x) Solving -21 + 6x = 75 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -21 + 6x + -30x = 75 + 30x + -30x Combine like terms: 6x + -30x = -24x -21 + -24x = 75 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + -24x = 75 + 0 -21 + -24x = 75 Add '21' to each side of the equation. -21 + 21 + -24x = 75 + 21 Combine like terms: -21 + 21 = 0 0 + -24x = 75 + 21 -24x = 75 + 21 Combine like terms: 75 + 21 = 96 -24x = 96 Divide each side by '-24'. x = -4 Simplifying x = -4
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