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Simplifying 6(3 + -1x) + -5(2x + -4) = 4(3x) + -14 (3 * 6 + -1x * 6) + -5(2x + -4) = 4(3x) + -14 (18 + -6x) + -5(2x + -4) = 4(3x) + -14 Reorder the terms: 18 + -6x + -5(-4 + 2x) = 4(3x) + -14 18 + -6x + (-4 * -5 + 2x * -5) = 4(3x) + -14 18 + -6x + (20 + -10x) = 4(3x) + -14 Reorder the terms: 18 + 20 + -6x + -10x = 4(3x) + -14 Combine like terms: 18 + 20 = 38 38 + -6x + -10x = 4(3x) + -14 Combine like terms: -6x + -10x = -16x 38 + -16x = 4(3x) + -14 Remove parenthesis around (3x) 38 + -16x = 4 * 3x + -14 Multiply 4 * 3 38 + -16x = 12x + -14 Reorder the terms: 38 + -16x = -14 + 12x Solving 38 + -16x = -14 + 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. 38 + -16x + -12x = -14 + 12x + -12x Combine like terms: -16x + -12x = -28x 38 + -28x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + -28x = -14 + 0 38 + -28x = -14 Add '-38' to each side of the equation. 38 + -38 + -28x = -14 + -38 Combine like terms: 38 + -38 = 0 0 + -28x = -14 + -38 -28x = -14 + -38 Combine like terms: -14 + -38 = -52 -28x = -52 Divide each side by '-28'. x = 1.857142857 Simplifying x = 1.857142857
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