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Simplifying (-4x + 2) + -6(x + 3) = 4(7x + 1) Reorder the terms: (2 + -4x) + -6(x + 3) = 4(7x + 1) Remove parenthesis around (2 + -4x) 2 + -4x + -6(x + 3) = 4(7x + 1) Reorder the terms: 2 + -4x + -6(3 + x) = 4(7x + 1) 2 + -4x + (3 * -6 + x * -6) = 4(7x + 1) 2 + -4x + (-18 + -6x) = 4(7x + 1) Reorder the terms: 2 + -18 + -4x + -6x = 4(7x + 1) Combine like terms: 2 + -18 = -16 -16 + -4x + -6x = 4(7x + 1) Combine like terms: -4x + -6x = -10x -16 + -10x = 4(7x + 1) Reorder the terms: -16 + -10x = 4(1 + 7x) -16 + -10x = (1 * 4 + 7x * 4) -16 + -10x = (4 + 28x) Solving -16 + -10x = 4 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -16 + -10x + -28x = 4 + 28x + -28x Combine like terms: -10x + -28x = -38x -16 + -38x = 4 + 28x + -28x Combine like terms: 28x + -28x = 0 -16 + -38x = 4 + 0 -16 + -38x = 4 Add '16' to each side of the equation. -16 + 16 + -38x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -38x = 4 + 16 -38x = 4 + 16 Combine like terms: 4 + 16 = 20 -38x = 20 Divide each side by '-38'. x = -0.5263157895 Simplifying x = -0.5263157895
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