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Simplifying 3(x + -2) + 3(7x + 6) = 23(x + -1) + 5 Reorder the terms: 3(-2 + x) + 3(7x + 6) = 23(x + -1) + 5 (-2 * 3 + x * 3) + 3(7x + 6) = 23(x + -1) + 5 (-6 + 3x) + 3(7x + 6) = 23(x + -1) + 5 Reorder the terms: -6 + 3x + 3(6 + 7x) = 23(x + -1) + 5 -6 + 3x + (6 * 3 + 7x * 3) = 23(x + -1) + 5 -6 + 3x + (18 + 21x) = 23(x + -1) + 5 Reorder the terms: -6 + 18 + 3x + 21x = 23(x + -1) + 5 Combine like terms: -6 + 18 = 12 12 + 3x + 21x = 23(x + -1) + 5 Combine like terms: 3x + 21x = 24x 12 + 24x = 23(x + -1) + 5 Reorder the terms: 12 + 24x = 23(-1 + x) + 5 12 + 24x = (-1 * 23 + x * 23) + 5 12 + 24x = (-23 + 23x) + 5 Reorder the terms: 12 + 24x = -23 + 5 + 23x Combine like terms: -23 + 5 = -18 12 + 24x = -18 + 23x Solving 12 + 24x = -18 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 12 + 24x + -23x = -18 + 23x + -23x Combine like terms: 24x + -23x = 1x 12 + 1x = -18 + 23x + -23x Combine like terms: 23x + -23x = 0 12 + 1x = -18 + 0 12 + 1x = -18 Add '-12' to each side of the equation. 12 + -12 + 1x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -18 + -12 1x = -18 + -12 Combine like terms: -18 + -12 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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