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Simplifying 3(2x + -1) + -2(5x + 1) = 4(3x + 4) Reorder the terms: 3(-1 + 2x) + -2(5x + 1) = 4(3x + 4) (-1 * 3 + 2x * 3) + -2(5x + 1) = 4(3x + 4) (-3 + 6x) + -2(5x + 1) = 4(3x + 4) Reorder the terms: -3 + 6x + -2(1 + 5x) = 4(3x + 4) -3 + 6x + (1 * -2 + 5x * -2) = 4(3x + 4) -3 + 6x + (-2 + -10x) = 4(3x + 4) Reorder the terms: -3 + -2 + 6x + -10x = 4(3x + 4) Combine like terms: -3 + -2 = -5 -5 + 6x + -10x = 4(3x + 4) Combine like terms: 6x + -10x = -4x -5 + -4x = 4(3x + 4) Reorder the terms: -5 + -4x = 4(4 + 3x) -5 + -4x = (4 * 4 + 3x * 4) -5 + -4x = (16 + 12x) Solving -5 + -4x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + -4x + -12x = 16 + 12x + -12x Combine like terms: -4x + -12x = -16x -5 + -16x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -16x = 16 + 0 -5 + -16x = 16 Add '5' to each side of the equation. -5 + 5 + -16x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -16x = 16 + 5 -16x = 16 + 5 Combine like terms: 16 + 5 = 21 -16x = 21 Divide each side by '-16'. x = -1.3125 Simplifying x = -1.3125
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