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Simplifying 3(x + -10) + 12(7x + -3) = 2x + 6 + 2 + 11x Reorder the terms: 3(-10 + x) + 12(7x + -3) = 2x + 6 + 2 + 11x (-10 * 3 + x * 3) + 12(7x + -3) = 2x + 6 + 2 + 11x (-30 + 3x) + 12(7x + -3) = 2x + 6 + 2 + 11x Reorder the terms: -30 + 3x + 12(-3 + 7x) = 2x + 6 + 2 + 11x -30 + 3x + (-3 * 12 + 7x * 12) = 2x + 6 + 2 + 11x -30 + 3x + (-36 + 84x) = 2x + 6 + 2 + 11x Reorder the terms: -30 + -36 + 3x + 84x = 2x + 6 + 2 + 11x Combine like terms: -30 + -36 = -66 -66 + 3x + 84x = 2x + 6 + 2 + 11x Combine like terms: 3x + 84x = 87x -66 + 87x = 2x + 6 + 2 + 11x Reorder the terms: -66 + 87x = 6 + 2 + 2x + 11x Combine like terms: 6 + 2 = 8 -66 + 87x = 8 + 2x + 11x Combine like terms: 2x + 11x = 13x -66 + 87x = 8 + 13x Solving -66 + 87x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -66 + 87x + -13x = 8 + 13x + -13x Combine like terms: 87x + -13x = 74x -66 + 74x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 -66 + 74x = 8 + 0 -66 + 74x = 8 Add '66' to each side of the equation. -66 + 66 + 74x = 8 + 66 Combine like terms: -66 + 66 = 0 0 + 74x = 8 + 66 74x = 8 + 66 Combine like terms: 8 + 66 = 74 74x = 74 Divide each side by '74'. x = 1 Simplifying x = 1
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