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Simplifying 6(x + -5) + -1(2x + -3) = 3x + -18 Reorder the terms: 6(-5 + x) + -1(2x + -3) = 3x + -18 (-5 * 6 + x * 6) + -1(2x + -3) = 3x + -18 (-30 + 6x) + -1(2x + -3) = 3x + -18 Reorder the terms: -30 + 6x + -1(-3 + 2x) = 3x + -18 -30 + 6x + (-3 * -1 + 2x * -1) = 3x + -18 -30 + 6x + (3 + -2x) = 3x + -18 Reorder the terms: -30 + 3 + 6x + -2x = 3x + -18 Combine like terms: -30 + 3 = -27 -27 + 6x + -2x = 3x + -18 Combine like terms: 6x + -2x = 4x -27 + 4x = 3x + -18 Reorder the terms: -27 + 4x = -18 + 3x Solving -27 + 4x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 4x + -3x = -18 + 3x + -3x Combine like terms: 4x + -3x = 1x -27 + 1x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 1x = -18 + 0 -27 + 1x = -18 Add '27' to each side of the equation. -27 + 27 + 1x = -18 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -18 + 27 1x = -18 + 27 Combine like terms: -18 + 27 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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