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Simplifying 2x + 7 = 3(4x + -1) + -6 Reorder the terms: 7 + 2x = 3(4x + -1) + -6 Reorder the terms: 7 + 2x = 3(-1 + 4x) + -6 7 + 2x = (-1 * 3 + 4x * 3) + -6 7 + 2x = (-3 + 12x) + -6 Reorder the terms: 7 + 2x = -3 + -6 + 12x Combine like terms: -3 + -6 = -9 7 + 2x = -9 + 12x Solving 7 + 2x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 2x + -12x = -9 + 12x + -12x Combine like terms: 2x + -12x = -10x 7 + -10x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -10x = -9 + 0 7 + -10x = -9 Add '-7' to each side of the equation. 7 + -7 + -10x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = -9 + -7 -10x = -9 + -7 Combine like terms: -9 + -7 = -16 -10x = -16 Divide each side by '-10'. x = 1.6 Simplifying x = 1.6
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