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Simplifying 3[x + -3] + -12 = 2[x + -6] + 10 Reorder the terms: 3[-3 + x] + -12 = 2[x + -6] + 10 [-3 * 3 + x * 3] + -12 = 2[x + -6] + 10 [-9 + 3x] + -12 = 2[x + -6] + 10 Reorder the terms: -9 + -12 + 3x = 2[x + -6] + 10 Combine like terms: -9 + -12 = -21 -21 + 3x = 2[x + -6] + 10 Reorder the terms: -21 + 3x = 2[-6 + x] + 10 -21 + 3x = [-6 * 2 + x * 2] + 10 -21 + 3x = [-12 + 2x] + 10 Reorder the terms: -21 + 3x = -12 + 10 + 2x Combine like terms: -12 + 10 = -2 -21 + 3x = -2 + 2x Solving -21 + 3x = -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 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -21 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 1x = -2 + 0 -21 + 1x = -2 Add '21' to each side of the equation. -21 + 21 + 1x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -2 + 21 1x = -2 + 21 Combine like terms: -2 + 21 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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