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