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Simplifying 2x + 14(1x + -3) = -2(3x + 2) + 4 + -4x Reorder the terms: 2x + 14(-3 + 1x) = -2(3x + 2) + 4 + -4x 2x + (-3 * 14 + 1x * 14) = -2(3x + 2) + 4 + -4x 2x + (-42 + 14x) = -2(3x + 2) + 4 + -4x Reorder the terms: -42 + 2x + 14x = -2(3x + 2) + 4 + -4x Combine like terms: 2x + 14x = 16x -42 + 16x = -2(3x + 2) + 4 + -4x Reorder the terms: -42 + 16x = -2(2 + 3x) + 4 + -4x -42 + 16x = (2 * -2 + 3x * -2) + 4 + -4x -42 + 16x = (-4 + -6x) + 4 + -4x Reorder the terms: -42 + 16x = -4 + 4 + -6x + -4x Combine like terms: -4 + 4 = 0 -42 + 16x = 0 + -6x + -4x -42 + 16x = -6x + -4x Combine like terms: -6x + -4x = -10x -42 + 16x = -10x Solving -42 + 16x = -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. -42 + 16x + 10x = -10x + 10x Combine like terms: 16x + 10x = 26x -42 + 26x = -10x + 10x Combine like terms: -10x + 10x = 0 -42 + 26x = 0 Add '42' to each side of the equation. -42 + 42 + 26x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 26x = 0 + 42 26x = 0 + 42 Combine like terms: 0 + 42 = 42 26x = 42 Divide each side by '26'. x = 1.615384615 Simplifying x = 1.615384615
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