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Simplifying 2(-3x + 4) + -23 = 11x + 67 + -1x Reorder the terms: 2(4 + -3x) + -23 = 11x + 67 + -1x (4 * 2 + -3x * 2) + -23 = 11x + 67 + -1x (8 + -6x) + -23 = 11x + 67 + -1x Reorder the terms: 8 + -23 + -6x = 11x + 67 + -1x Combine like terms: 8 + -23 = -15 -15 + -6x = 11x + 67 + -1x Reorder the terms: -15 + -6x = 67 + 11x + -1x Combine like terms: 11x + -1x = 10x -15 + -6x = 67 + 10x Solving -15 + -6x = 67 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + -6x + -10x = 67 + 10x + -10x Combine like terms: -6x + -10x = -16x -15 + -16x = 67 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -16x = 67 + 0 -15 + -16x = 67 Add '15' to each side of the equation. -15 + 15 + -16x = 67 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = 67 + 15 -16x = 67 + 15 Combine like terms: 67 + 15 = 82 -16x = 82 Divide each side by '-16'. x = -5.125 Simplifying x = -5.125
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