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Simplifying 2(3x + -2) + 3[(x + 1) + -4] = 5x + -3(x + 1) Reorder the terms: 2(-2 + 3x) + 3[(x + 1) + -4] = 5x + -3(x + 1) (-2 * 2 + 3x * 2) + 3[(x + 1) + -4] = 5x + -3(x + 1) (-4 + 6x) + 3[(x + 1) + -4] = 5x + -3(x + 1) Reorder the terms: -4 + 6x + 3[(1 + x) + -4] = 5x + -3(x + 1) Remove parenthesis around (1 + x) -4 + 6x + 3[1 + x + -4] = 5x + -3(x + 1) Reorder the terms: -4 + 6x + 3[1 + -4 + x] = 5x + -3(x + 1) Combine like terms: 1 + -4 = -3 -4 + 6x + 3[-3 + x] = 5x + -3(x + 1) -4 + 6x + [-3 * 3 + x * 3] = 5x + -3(x + 1) -4 + 6x + [-9 + 3x] = 5x + -3(x + 1) Reorder the terms: -4 + -9 + 6x + 3x = 5x + -3(x + 1) Combine like terms: -4 + -9 = -13 -13 + 6x + 3x = 5x + -3(x + 1) Combine like terms: 6x + 3x = 9x -13 + 9x = 5x + -3(x + 1) Reorder the terms: -13 + 9x = 5x + -3(1 + x) -13 + 9x = 5x + (1 * -3 + x * -3) -13 + 9x = 5x + (-3 + -3x) Reorder the terms: -13 + 9x = -3 + 5x + -3x Combine like terms: 5x + -3x = 2x -13 + 9x = -3 + 2x Solving -13 + 9x = -3 + 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. -13 + 9x + -2x = -3 + 2x + -2x Combine like terms: 9x + -2x = 7x -13 + 7x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 7x = -3 + 0 -13 + 7x = -3 Add '13' to each side of the equation. -13 + 13 + 7x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = -3 + 13 7x = -3 + 13 Combine like terms: -3 + 13 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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