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Simplifying 7 + -2(5 + -2x) = 4(3x + 1) + -6x 7 + (5 * -2 + -2x * -2) = 4(3x + 1) + -6x 7 + (-10 + 4x) = 4(3x + 1) + -6x Combine like terms: 7 + -10 = -3 -3 + 4x = 4(3x + 1) + -6x Reorder the terms: -3 + 4x = 4(1 + 3x) + -6x -3 + 4x = (1 * 4 + 3x * 4) + -6x -3 + 4x = (4 + 12x) + -6x Combine like terms: 12x + -6x = 6x -3 + 4x = 4 + 6x Solving -3 + 4x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 4x + -6x = 4 + 6x + -6x Combine like terms: 4x + -6x = -2x -3 + -2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -2x = 4 + 0 -3 + -2x = 4 Add '3' to each side of the equation. -3 + 3 + -2x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 4 + 3 -2x = 4 + 3 Combine like terms: 4 + 3 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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