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Simplifying 6x + -7(9 + -9x) = 4(x + -2) + 3 6x + (9 * -7 + -9x * -7) = 4(x + -2) + 3 6x + (-63 + 63x) = 4(x + -2) + 3 Reorder the terms: -63 + 6x + 63x = 4(x + -2) + 3 Combine like terms: 6x + 63x = 69x -63 + 69x = 4(x + -2) + 3 Reorder the terms: -63 + 69x = 4(-2 + x) + 3 -63 + 69x = (-2 * 4 + x * 4) + 3 -63 + 69x = (-8 + 4x) + 3 Reorder the terms: -63 + 69x = -8 + 3 + 4x Combine like terms: -8 + 3 = -5 -63 + 69x = -5 + 4x Solving -63 + 69x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -63 + 69x + -4x = -5 + 4x + -4x Combine like terms: 69x + -4x = 65x -63 + 65x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -63 + 65x = -5 + 0 -63 + 65x = -5 Add '63' to each side of the equation. -63 + 63 + 65x = -5 + 63 Combine like terms: -63 + 63 = 0 0 + 65x = -5 + 63 65x = -5 + 63 Combine like terms: -5 + 63 = 58 65x = 58 Divide each side by '65'. x = 0.8923076923 Simplifying x = 0.8923076923
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