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Simplifying 3x + -7 + -9(x + 1) = 2x + 3 Reorder the terms: 3x + -7 + -9(1 + x) = 2x + 3 3x + -7 + (1 * -9 + x * -9) = 2x + 3 3x + -7 + (-9 + -9x) = 2x + 3 Reorder the terms: -7 + -9 + 3x + -9x = 2x + 3 Combine like terms: -7 + -9 = -16 -16 + 3x + -9x = 2x + 3 Combine like terms: 3x + -9x = -6x -16 + -6x = 2x + 3 Reorder the terms: -16 + -6x = 3 + 2x Solving -16 + -6x = 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. -16 + -6x + -2x = 3 + 2x + -2x Combine like terms: -6x + -2x = -8x -16 + -8x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -8x = 3 + 0 -16 + -8x = 3 Add '16' to each side of the equation. -16 + 16 + -8x = 3 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 3 + 16 -8x = 3 + 16 Combine like terms: 3 + 16 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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