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Simplifying 2 + -3(7x + 4) = -102 + 5(2x + -7) + 3 Reorder the terms: 2 + -3(4 + 7x) = -102 + 5(2x + -7) + 3 2 + (4 * -3 + 7x * -3) = -102 + 5(2x + -7) + 3 2 + (-12 + -21x) = -102 + 5(2x + -7) + 3 Combine like terms: 2 + -12 = -10 -10 + -21x = -102 + 5(2x + -7) + 3 Reorder the terms: -10 + -21x = -102 + 5(-7 + 2x) + 3 -10 + -21x = -102 + (-7 * 5 + 2x * 5) + 3 -10 + -21x = -102 + (-35 + 10x) + 3 Reorder the terms: -10 + -21x = -102 + -35 + 3 + 10x Combine like terms: -102 + -35 = -137 -10 + -21x = -137 + 3 + 10x Combine like terms: -137 + 3 = -134 -10 + -21x = -134 + 10x Solving -10 + -21x = -134 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + -21x + -10x = -134 + 10x + -10x Combine like terms: -21x + -10x = -31x -10 + -31x = -134 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -31x = -134 + 0 -10 + -31x = -134 Add '10' to each side of the equation. -10 + 10 + -31x = -134 + 10 Combine like terms: -10 + 10 = 0 0 + -31x = -134 + 10 -31x = -134 + 10 Combine like terms: -134 + 10 = -124 -31x = -124 Divide each side by '-31'. x = 4 Simplifying x = 4
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