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Simplifying 6(2x + -7) + -3 = 6(x + -4) + 21 Reorder the terms: 6(-7 + 2x) + -3 = 6(x + -4) + 21 (-7 * 6 + 2x * 6) + -3 = 6(x + -4) + 21 (-42 + 12x) + -3 = 6(x + -4) + 21 Reorder the terms: -42 + -3 + 12x = 6(x + -4) + 21 Combine like terms: -42 + -3 = -45 -45 + 12x = 6(x + -4) + 21 Reorder the terms: -45 + 12x = 6(-4 + x) + 21 -45 + 12x = (-4 * 6 + x * 6) + 21 -45 + 12x = (-24 + 6x) + 21 Reorder the terms: -45 + 12x = -24 + 21 + 6x Combine like terms: -24 + 21 = -3 -45 + 12x = -3 + 6x Solving -45 + 12x = -3 + 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. -45 + 12x + -6x = -3 + 6x + -6x Combine like terms: 12x + -6x = 6x -45 + 6x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 6x = -3 + 0 -45 + 6x = -3 Add '45' to each side of the equation. -45 + 45 + 6x = -3 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = -3 + 45 6x = -3 + 45 Combine like terms: -3 + 45 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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