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Simplifying 7x + -2(4 + -3x) = -3(2x + 1) + -4 7x + (4 * -2 + -3x * -2) = -3(2x + 1) + -4 7x + (-8 + 6x) = -3(2x + 1) + -4 Reorder the terms: -8 + 7x + 6x = -3(2x + 1) + -4 Combine like terms: 7x + 6x = 13x -8 + 13x = -3(2x + 1) + -4 Reorder the terms: -8 + 13x = -3(1 + 2x) + -4 -8 + 13x = (1 * -3 + 2x * -3) + -4 -8 + 13x = (-3 + -6x) + -4 Reorder the terms: -8 + 13x = -3 + -4 + -6x Combine like terms: -3 + -4 = -7 -8 + 13x = -7 + -6x Solving -8 + 13x = -7 + -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. -8 + 13x + 6x = -7 + -6x + 6x Combine like terms: 13x + 6x = 19x -8 + 19x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 19x = -7 + 0 -8 + 19x = -7 Add '8' to each side of the equation. -8 + 8 + 19x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 19x = -7 + 8 19x = -7 + 8 Combine like terms: -7 + 8 = 1 19x = 1 Divide each side by '19'. x = 0.05263157895 Simplifying x = 0.05263157895
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