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Simplifying 6(5x + -2) + 3 = -1(2x + -3) Reorder the terms: 6(-2 + 5x) + 3 = -1(2x + -3) (-2 * 6 + 5x * 6) + 3 = -1(2x + -3) (-12 + 30x) + 3 = -1(2x + -3) Reorder the terms: -12 + 3 + 30x = -1(2x + -3) Combine like terms: -12 + 3 = -9 -9 + 30x = -1(2x + -3) Reorder the terms: -9 + 30x = -1(-3 + 2x) -9 + 30x = (-3 * -1 + 2x * -1) -9 + 30x = (3 + -2x) Solving -9 + 30x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 30x + 2x = 3 + -2x + 2x Combine like terms: 30x + 2x = 32x -9 + 32x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 32x = 3 + 0 -9 + 32x = 3 Add '9' to each side of the equation. -9 + 9 + 32x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 32x = 3 + 9 32x = 3 + 9 Combine like terms: 3 + 9 = 12 32x = 12 Divide each side by '32'. x = 0.375 Simplifying x = 0.375
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