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Simplifying 7 + -5[x + -3(x + 2)] = 25 + -2[x + -2(x + -3)] Reorder the terms: 7 + -5[x + -3(2 + x)] = 25 + -2[x + -2(x + -3)] 7 + -5[x + (2 * -3 + x * -3)] = 25 + -2[x + -2(x + -3)] 7 + -5[x + (-6 + -3x)] = 25 + -2[x + -2(x + -3)] Reorder the terms: 7 + -5[-6 + x + -3x] = 25 + -2[x + -2(x + -3)] Combine like terms: x + -3x = -2x 7 + -5[-6 + -2x] = 25 + -2[x + -2(x + -3)] 7 + [-6 * -5 + -2x * -5] = 25 + -2[x + -2(x + -3)] 7 + [30 + 10x] = 25 + -2[x + -2(x + -3)] Combine like terms: 7 + 30 = 37 37 + 10x = 25 + -2[x + -2(x + -3)] Reorder the terms: 37 + 10x = 25 + -2[x + -2(-3 + x)] 37 + 10x = 25 + -2[x + (-3 * -2 + x * -2)] 37 + 10x = 25 + -2[x + (6 + -2x)] Reorder the terms: 37 + 10x = 25 + -2[6 + x + -2x] Combine like terms: x + -2x = -1x 37 + 10x = 25 + -2[6 + -1x] 37 + 10x = 25 + [6 * -2 + -1x * -2] 37 + 10x = 25 + [-12 + 2x] Combine like terms: 25 + -12 = 13 37 + 10x = 13 + 2x Solving 37 + 10x = 13 + 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. 37 + 10x + -2x = 13 + 2x + -2x Combine like terms: 10x + -2x = 8x 37 + 8x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 37 + 8x = 13 + 0 37 + 8x = 13 Add '-37' to each side of the equation. 37 + -37 + 8x = 13 + -37 Combine like terms: 37 + -37 = 0 0 + 8x = 13 + -37 8x = 13 + -37 Combine like terms: 13 + -37 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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