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Simplifying 9(x + 4) + -2(2 + -3) = 2(x + -1) + 4(x + -2) Reorder the terms: 9(4 + x) + -2(2 + -3) = 2(x + -1) + 4(x + -2) (4 * 9 + x * 9) + -2(2 + -3) = 2(x + -1) + 4(x + -2) (36 + 9x) + -2(2 + -3) = 2(x + -1) + 4(x + -2) Combine like terms: 2 + -3 = -1 36 + 9x + -2(-1) = 2(x + -1) + 4(x + -2) Multiply -2 * -1 36 + 9x + 2 = 2(x + -1) + 4(x + -2) Reorder the terms: 36 + 2 + 9x = 2(x + -1) + 4(x + -2) Combine like terms: 36 + 2 = 38 38 + 9x = 2(x + -1) + 4(x + -2) Reorder the terms: 38 + 9x = 2(-1 + x) + 4(x + -2) 38 + 9x = (-1 * 2 + x * 2) + 4(x + -2) 38 + 9x = (-2 + 2x) + 4(x + -2) Reorder the terms: 38 + 9x = -2 + 2x + 4(-2 + x) 38 + 9x = -2 + 2x + (-2 * 4 + x * 4) 38 + 9x = -2 + 2x + (-8 + 4x) Reorder the terms: 38 + 9x = -2 + -8 + 2x + 4x Combine like terms: -2 + -8 = -10 38 + 9x = -10 + 2x + 4x Combine like terms: 2x + 4x = 6x 38 + 9x = -10 + 6x Solving 38 + 9x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + 9x + -6x = -10 + 6x + -6x Combine like terms: 9x + -6x = 3x 38 + 3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + 3x = -10 + 0 38 + 3x = -10 Add '-38' to each side of the equation. 38 + -38 + 3x = -10 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = -10 + -38 3x = -10 + -38 Combine like terms: -10 + -38 = -48 3x = -48 Divide each side by '3'. x = -16 Simplifying x = -16
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