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Simplifying 18(4x + -10) + 6x + -5 = -1(16x + 2) + 3x + 12 Reorder the terms: 18(-10 + 4x) + 6x + -5 = -1(16x + 2) + 3x + 12 (-10 * 18 + 4x * 18) + 6x + -5 = -1(16x + 2) + 3x + 12 (-180 + 72x) + 6x + -5 = -1(16x + 2) + 3x + 12 Reorder the terms: -180 + -5 + 72x + 6x = -1(16x + 2) + 3x + 12 Combine like terms: -180 + -5 = -185 -185 + 72x + 6x = -1(16x + 2) + 3x + 12 Combine like terms: 72x + 6x = 78x -185 + 78x = -1(16x + 2) + 3x + 12 Reorder the terms: -185 + 78x = -1(2 + 16x) + 3x + 12 -185 + 78x = (2 * -1 + 16x * -1) + 3x + 12 -185 + 78x = (-2 + -16x) + 3x + 12 Reorder the terms: -185 + 78x = -2 + 12 + -16x + 3x Combine like terms: -2 + 12 = 10 -185 + 78x = 10 + -16x + 3x Combine like terms: -16x + 3x = -13x -185 + 78x = 10 + -13x Solving -185 + 78x = 10 + -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. -185 + 78x + 13x = 10 + -13x + 13x Combine like terms: 78x + 13x = 91x -185 + 91x = 10 + -13x + 13x Combine like terms: -13x + 13x = 0 -185 + 91x = 10 + 0 -185 + 91x = 10 Add '185' to each side of the equation. -185 + 185 + 91x = 10 + 185 Combine like terms: -185 + 185 = 0 0 + 91x = 10 + 185 91x = 10 + 185 Combine like terms: 10 + 185 = 195 91x = 195 Divide each side by '91'. x = 2.142857143 Simplifying x = 2.142857143
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