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Simplifying 3(4x + -2) + -3 = 7 + -2(x + 5) Reorder the terms: 3(-2 + 4x) + -3 = 7 + -2(x + 5) (-2 * 3 + 4x * 3) + -3 = 7 + -2(x + 5) (-6 + 12x) + -3 = 7 + -2(x + 5) Reorder the terms: -6 + -3 + 12x = 7 + -2(x + 5) Combine like terms: -6 + -3 = -9 -9 + 12x = 7 + -2(x + 5) Reorder the terms: -9 + 12x = 7 + -2(5 + x) -9 + 12x = 7 + (5 * -2 + x * -2) -9 + 12x = 7 + (-10 + -2x) Combine like terms: 7 + -10 = -3 -9 + 12x = -3 + -2x Solving -9 + 12x = -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 + 12x + 2x = -3 + -2x + 2x Combine like terms: 12x + 2x = 14x -9 + 14x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 14x = -3 + 0 -9 + 14x = -3 Add '9' to each side of the equation. -9 + 9 + 14x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = -3 + 9 14x = -3 + 9 Combine like terms: -3 + 9 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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