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Simplifying 7x + 3(4x + -2) = 6x + -4(x + 3) Reorder the terms: 7x + 3(-2 + 4x) = 6x + -4(x + 3) 7x + (-2 * 3 + 4x * 3) = 6x + -4(x + 3) 7x + (-6 + 12x) = 6x + -4(x + 3) Reorder the terms: -6 + 7x + 12x = 6x + -4(x + 3) Combine like terms: 7x + 12x = 19x -6 + 19x = 6x + -4(x + 3) Reorder the terms: -6 + 19x = 6x + -4(3 + x) -6 + 19x = 6x + (3 * -4 + x * -4) -6 + 19x = 6x + (-12 + -4x) Reorder the terms: -6 + 19x = -12 + 6x + -4x Combine like terms: 6x + -4x = 2x -6 + 19x = -12 + 2x Solving -6 + 19x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 19x + -2x = -12 + 2x + -2x Combine like terms: 19x + -2x = 17x -6 + 17x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 17x = -12 + 0 -6 + 17x = -12 Add '6' to each side of the equation. -6 + 6 + 17x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = -12 + 6 17x = -12 + 6 Combine like terms: -12 + 6 = -6 17x = -6 Divide each side by '17'. x = -0.3529411765 Simplifying x = -0.3529411765
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