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Simplifying 4 + -1(15 + -2x) = 3[2x + -9 + -2(9 + -1x)] 4 + (15 * -1 + -2x * -1) = 3[2x + -9 + -2(9 + -1x)] 4 + (-15 + 2x) = 3[2x + -9 + -2(9 + -1x)] Combine like terms: 4 + -15 = -11 -11 + 2x = 3[2x + -9 + -2(9 + -1x)] -11 + 2x = 3[2x + -9 + (9 * -2 + -1x * -2)] -11 + 2x = 3[2x + -9 + (-18 + 2x)] Reorder the terms: -11 + 2x = 3[-9 + -18 + 2x + 2x] Combine like terms: -9 + -18 = -27 -11 + 2x = 3[-27 + 2x + 2x] Combine like terms: 2x + 2x = 4x -11 + 2x = 3[-27 + 4x] -11 + 2x = [-27 * 3 + 4x * 3] -11 + 2x = [-81 + 12x] Solving -11 + 2x = -81 + 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. -11 + 2x + -12x = -81 + 12x + -12x Combine like terms: 2x + -12x = -10x -11 + -10x = -81 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + -10x = -81 + 0 -11 + -10x = -81 Add '11' to each side of the equation. -11 + 11 + -10x = -81 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = -81 + 11 -10x = -81 + 11 Combine like terms: -81 + 11 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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