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Simplifying -14 + 3[x + 10] = 7[2x + 4] + x Reorder the terms: -14 + 3[10 + x] = 7[2x + 4] + x -14 + [10 * 3 + x * 3] = 7[2x + 4] + x -14 + [30 + 3x] = 7[2x + 4] + x Combine like terms: -14 + 30 = 16 16 + 3x = 7[2x + 4] + x Reorder the terms: 16 + 3x = 7[4 + 2x] + x 16 + 3x = [4 * 7 + 2x * 7] + x 16 + 3x = [28 + 14x] + x Combine like terms: 14x + x = 15x 16 + 3x = 28 + 15x Solving 16 + 3x = 28 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 3x + -15x = 28 + 15x + -15x Combine like terms: 3x + -15x = -12x 16 + -12x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -12x = 28 + 0 16 + -12x = 28 Add '-16' to each side of the equation. 16 + -16 + -12x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 28 + -16 -12x = 28 + -16 Combine like terms: 28 + -16 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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