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Simplifying 10x + -1[2x + 9] = -3[15 + -4x] Reorder the terms: 10x + -1[9 + 2x] = -3[15 + -4x] 10x + [9 * -1 + 2x * -1] = -3[15 + -4x] 10x + [-9 + -2x] = -3[15 + -4x] Reorder the terms: -9 + 10x + -2x = -3[15 + -4x] Combine like terms: 10x + -2x = 8x -9 + 8x = -3[15 + -4x] -9 + 8x = [15 * -3 + -4x * -3] -9 + 8x = [-45 + 12x] Solving -9 + 8x = -45 + 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. -9 + 8x + -12x = -45 + 12x + -12x Combine like terms: 8x + -12x = -4x -9 + -4x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -4x = -45 + 0 -9 + -4x = -45 Add '9' to each side of the equation. -9 + 9 + -4x = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -45 + 9 -4x = -45 + 9 Combine like terms: -45 + 9 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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