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Simplifying 4x + -3(2x + -7) = x + 6 Reorder the terms: 4x + -3(-7 + 2x) = x + 6 4x + (-7 * -3 + 2x * -3) = x + 6 4x + (21 + -6x) = x + 6 Reorder the terms: 21 + 4x + -6x = x + 6 Combine like terms: 4x + -6x = -2x 21 + -2x = x + 6 Reorder the terms: 21 + -2x = 6 + x Solving 21 + -2x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + -2x + -1x = 6 + x + -1x Combine like terms: -2x + -1x = -3x 21 + -3x = 6 + x + -1x Combine like terms: x + -1x = 0 21 + -3x = 6 + 0 21 + -3x = 6 Add '-21' to each side of the equation. 21 + -21 + -3x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 6 + -21 -3x = 6 + -21 Combine like terms: 6 + -21 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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