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Simplifying -7x + 5(5 + 3x) = -6(-1x + 2) + 7 -7x + (5 * 5 + 3x * 5) = -6(-1x + 2) + 7 -7x + (25 + 15x) = -6(-1x + 2) + 7 Reorder the terms: 25 + -7x + 15x = -6(-1x + 2) + 7 Combine like terms: -7x + 15x = 8x 25 + 8x = -6(-1x + 2) + 7 Reorder the terms: 25 + 8x = -6(2 + -1x) + 7 25 + 8x = (2 * -6 + -1x * -6) + 7 25 + 8x = (-12 + 6x) + 7 Reorder the terms: 25 + 8x = -12 + 7 + 6x Combine like terms: -12 + 7 = -5 25 + 8x = -5 + 6x Solving 25 + 8x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + 8x + -6x = -5 + 6x + -6x Combine like terms: 8x + -6x = 2x 25 + 2x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 2x = -5 + 0 25 + 2x = -5 Add '-25' to each side of the equation. 25 + -25 + 2x = -5 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = -5 + -25 2x = -5 + -25 Combine like terms: -5 + -25 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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