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Simplifying 3[4 + 3(4 + -1x) + -2x] = 4x + -7 3[4 + (4 * 3 + -1x * 3) + -2x] = 4x + -7 3[4 + (12 + -3x) + -2x] = 4x + -7 Combine like terms: 4 + 12 = 16 3[16 + -3x + -2x] = 4x + -7 Combine like terms: -3x + -2x = -5x 3[16 + -5x] = 4x + -7 [16 * 3 + -5x * 3] = 4x + -7 [48 + -15x] = 4x + -7 Reorder the terms: 48 + -15x = -7 + 4x Solving 48 + -15x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + -15x + -4x = -7 + 4x + -4x Combine like terms: -15x + -4x = -19x 48 + -19x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + -19x = -7 + 0 48 + -19x = -7 Add '-48' to each side of the equation. 48 + -48 + -19x = -7 + -48 Combine like terms: 48 + -48 = 0 0 + -19x = -7 + -48 -19x = -7 + -48 Combine like terms: -7 + -48 = -55 -19x = -55 Divide each side by '-19'. x = 2.894736842 Simplifying x = 2.894736842
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