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Simplifying 7x + -3(x + -7) = 2(x + -4) + 6 Reorder the terms: 7x + -3(-7 + x) = 2(x + -4) + 6 7x + (-7 * -3 + x * -3) = 2(x + -4) + 6 7x + (21 + -3x) = 2(x + -4) + 6 Reorder the terms: 21 + 7x + -3x = 2(x + -4) + 6 Combine like terms: 7x + -3x = 4x 21 + 4x = 2(x + -4) + 6 Reorder the terms: 21 + 4x = 2(-4 + x) + 6 21 + 4x = (-4 * 2 + x * 2) + 6 21 + 4x = (-8 + 2x) + 6 Reorder the terms: 21 + 4x = -8 + 6 + 2x Combine like terms: -8 + 6 = -2 21 + 4x = -2 + 2x Solving 21 + 4x = -2 + 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. 21 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x 21 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 2x = -2 + 0 21 + 2x = -2 Add '-21' to each side of the equation. 21 + -21 + 2x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = -2 + -21 2x = -2 + -21 Combine like terms: -2 + -21 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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