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Simplifying -3(x + -14) + 7(x + 3) = 21x + 105 Reorder the terms: -3(-14 + x) + 7(x + 3) = 21x + 105 (-14 * -3 + x * -3) + 7(x + 3) = 21x + 105 (42 + -3x) + 7(x + 3) = 21x + 105 Reorder the terms: 42 + -3x + 7(3 + x) = 21x + 105 42 + -3x + (3 * 7 + x * 7) = 21x + 105 42 + -3x + (21 + 7x) = 21x + 105 Reorder the terms: 42 + 21 + -3x + 7x = 21x + 105 Combine like terms: 42 + 21 = 63 63 + -3x + 7x = 21x + 105 Combine like terms: -3x + 7x = 4x 63 + 4x = 21x + 105 Reorder the terms: 63 + 4x = 105 + 21x Solving 63 + 4x = 105 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 63 + 4x + -21x = 105 + 21x + -21x Combine like terms: 4x + -21x = -17x 63 + -17x = 105 + 21x + -21x Combine like terms: 21x + -21x = 0 63 + -17x = 105 + 0 63 + -17x = 105 Add '-63' to each side of the equation. 63 + -63 + -17x = 105 + -63 Combine like terms: 63 + -63 = 0 0 + -17x = 105 + -63 -17x = 105 + -63 Combine like terms: 105 + -63 = 42 -17x = 42 Divide each side by '-17'. x = -2.470588235 Simplifying x = -2.470588235
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