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Simplifying 5 + -1(2x + 7) = 3[(9x + -7) + -1(x + -2)] Reorder the terms: 5 + -1(7 + 2x) = 3[(9x + -7) + -1(x + -2)] 5 + (7 * -1 + 2x * -1) = 3[(9x + -7) + -1(x + -2)] 5 + (-7 + -2x) = 3[(9x + -7) + -1(x + -2)] Combine like terms: 5 + -7 = -2 -2 + -2x = 3[(9x + -7) + -1(x + -2)] Reorder the terms: -2 + -2x = 3[(-7 + 9x) + -1(x + -2)] Remove parenthesis around (-7 + 9x) -2 + -2x = 3[-7 + 9x + -1(x + -2)] Reorder the terms: -2 + -2x = 3[-7 + 9x + -1(-2 + x)] -2 + -2x = 3[-7 + 9x + (-2 * -1 + x * -1)] -2 + -2x = 3[-7 + 9x + (2 + -1x)] Reorder the terms: -2 + -2x = 3[-7 + 2 + 9x + -1x] Combine like terms: -7 + 2 = -5 -2 + -2x = 3[-5 + 9x + -1x] Combine like terms: 9x + -1x = 8x -2 + -2x = 3[-5 + 8x] -2 + -2x = [-5 * 3 + 8x * 3] -2 + -2x = [-15 + 24x] Solving -2 + -2x = -15 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -2 + -2x + -24x = -15 + 24x + -24x Combine like terms: -2x + -24x = -26x -2 + -26x = -15 + 24x + -24x Combine like terms: 24x + -24x = 0 -2 + -26x = -15 + 0 -2 + -26x = -15 Add '2' to each side of the equation. -2 + 2 + -26x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + -26x = -15 + 2 -26x = -15 + 2 Combine like terms: -15 + 2 = -13 -26x = -13 Divide each side by '-26'. x = 0.5 Simplifying x = 0.5
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