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Simplifying 4x + -3(2x + -7) = 7 + 2x + -10 Reorder the terms: 4x + -3(-7 + 2x) = 7 + 2x + -10 4x + (-7 * -3 + 2x * -3) = 7 + 2x + -10 4x + (21 + -6x) = 7 + 2x + -10 Reorder the terms: 21 + 4x + -6x = 7 + 2x + -10 Combine like terms: 4x + -6x = -2x 21 + -2x = 7 + 2x + -10 Reorder the terms: 21 + -2x = 7 + -10 + 2x Combine like terms: 7 + -10 = -3 21 + -2x = -3 + 2x Solving 21 + -2x = -3 + 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 + -2x + -2x = -3 + 2x + -2x Combine like terms: -2x + -2x = -4x 21 + -4x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -4x = -3 + 0 21 + -4x = -3 Add '-21' to each side of the equation. 21 + -21 + -4x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = -3 + -21 -4x = -3 + -21 Combine like terms: -3 + -21 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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