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Simplifying 7x + 3 = 6(x + -2) + -9 Reorder the terms: 3 + 7x = 6(x + -2) + -9 Reorder the terms: 3 + 7x = 6(-2 + x) + -9 3 + 7x = (-2 * 6 + x * 6) + -9 3 + 7x = (-12 + 6x) + -9 Reorder the terms: 3 + 7x = -12 + -9 + 6x Combine like terms: -12 + -9 = -21 3 + 7x = -21 + 6x Solving 3 + 7x = -21 + 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. 3 + 7x + -6x = -21 + 6x + -6x Combine like terms: 7x + -6x = 1x 3 + 1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 1x = -21 + 0 3 + 1x = -21 Add '-3' to each side of the equation. 3 + -3 + 1x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -21 + -3 1x = -21 + -3 Combine like terms: -21 + -3 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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