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Simplifying 3(x + -5) = 6x + 7(3x + -1) Reorder the terms: 3(-5 + x) = 6x + 7(3x + -1) (-5 * 3 + x * 3) = 6x + 7(3x + -1) (-15 + 3x) = 6x + 7(3x + -1) Reorder the terms: -15 + 3x = 6x + 7(-1 + 3x) -15 + 3x = 6x + (-1 * 7 + 3x * 7) -15 + 3x = 6x + (-7 + 21x) Reorder the terms: -15 + 3x = -7 + 6x + 21x Combine like terms: 6x + 21x = 27x -15 + 3x = -7 + 27x Solving -15 + 3x = -7 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -15 + 3x + -27x = -7 + 27x + -27x Combine like terms: 3x + -27x = -24x -15 + -24x = -7 + 27x + -27x Combine like terms: 27x + -27x = 0 -15 + -24x = -7 + 0 -15 + -24x = -7 Add '15' to each side of the equation. -15 + 15 + -24x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -24x = -7 + 15 -24x = -7 + 15 Combine like terms: -7 + 15 = 8 -24x = 8 Divide each side by '-24'. x = -0.3333333333 Simplifying x = -0.3333333333
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