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Simplifying 10[x + -1(4x + 34) + 7] = 5(x + 9) Reorder the terms: 10[x + -1(34 + 4x) + 7] = 5(x + 9) 10[x + (34 * -1 + 4x * -1) + 7] = 5(x + 9) 10[x + (-34 + -4x) + 7] = 5(x + 9) Reorder the terms: 10[-34 + 7 + x + -4x] = 5(x + 9) Combine like terms: -34 + 7 = -27 10[-27 + x + -4x] = 5(x + 9) Combine like terms: x + -4x = -3x 10[-27 + -3x] = 5(x + 9) [-27 * 10 + -3x * 10] = 5(x + 9) [-270 + -30x] = 5(x + 9) Reorder the terms: -270 + -30x = 5(9 + x) -270 + -30x = (9 * 5 + x * 5) -270 + -30x = (45 + 5x) Solving -270 + -30x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -270 + -30x + -5x = 45 + 5x + -5x Combine like terms: -30x + -5x = -35x -270 + -35x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -270 + -35x = 45 + 0 -270 + -35x = 45 Add '270' to each side of the equation. -270 + 270 + -35x = 45 + 270 Combine like terms: -270 + 270 = 0 0 + -35x = 45 + 270 -35x = 45 + 270 Combine like terms: 45 + 270 = 315 -35x = 315 Divide each side by '-35'. x = -9 Simplifying x = -9
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