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Simplifying 7 + 2(3x + -1) = 8x + -3(2x + 15) Reorder the terms: 7 + 2(-1 + 3x) = 8x + -3(2x + 15) 7 + (-1 * 2 + 3x * 2) = 8x + -3(2x + 15) 7 + (-2 + 6x) = 8x + -3(2x + 15) Combine like terms: 7 + -2 = 5 5 + 6x = 8x + -3(2x + 15) Reorder the terms: 5 + 6x = 8x + -3(15 + 2x) 5 + 6x = 8x + (15 * -3 + 2x * -3) 5 + 6x = 8x + (-45 + -6x) Reorder the terms: 5 + 6x = -45 + 8x + -6x Combine like terms: 8x + -6x = 2x 5 + 6x = -45 + 2x Solving 5 + 6x = -45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 6x + -2x = -45 + 2x + -2x Combine like terms: 6x + -2x = 4x 5 + 4x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 4x = -45 + 0 5 + 4x = -45 Add '-5' to each side of the equation. 5 + -5 + 4x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -45 + -5 4x = -45 + -5 Combine like terms: -45 + -5 = -50 4x = -50 Divide each side by '4'. x = -12.5 Simplifying x = -12.5
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