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Simplifying -102 = -3x + -4(4x + -3) Reorder the terms: -102 = -3x + -4(-3 + 4x) -102 = -3x + (-3 * -4 + 4x * -4) -102 = -3x + (12 + -16x) Reorder the terms: -102 = 12 + -3x + -16x Combine like terms: -3x + -16x = -19x -102 = 12 + -19x Solving -102 = 12 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -102 + 19x = 12 + -19x + 19x Combine like terms: -19x + 19x = 0 -102 + 19x = 12 + 0 -102 + 19x = 12 Add '102' to each side of the equation. -102 + 102 + 19x = 12 + 102 Combine like terms: -102 + 102 = 0 0 + 19x = 12 + 102 19x = 12 + 102 Combine like terms: 12 + 102 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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